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Finding the Third Proportional to 130,759,909,965 and 203,024,345,218.50

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Solution

The third proportional to 130,759,909,965 and 203,024,345,218.50 is: 315,225,704,594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,759,909,965 : 203,024,345,218.50 = 203,024,345,218.50 : x
  2. Step 2: Convert to fraction form
    130,759,909,965/203,024,345,218.50 = 203,024,345,218.50/x
  3. Step 3: Cross multiply
    130,759,909,965x = 203,024,345,218.50 × 203,024,345,218.50
  4. Step 4: Simplify right side
    130,759,909,965x = 41,218,884,751,400,665,874,432
  5. Step 5: Solve for x
    x = 41,218,884,751,400,665,874,432/130,759,909,965
  6. Step 6: Final answer
    x = 315,225,704,594.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.