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Finding the Third Proportional to 153,130,964 and 235,373,365

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Solution

The third proportional to 153,130,964 and 235,373,365 is: 361,785,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,130,964 : 235,373,365 = 235,373,365 : x
  2. Step 2: Convert to fraction form
    153,130,964/235,373,365 = 235,373,365/x
  3. Step 3: Cross multiply
    153,130,964x = 235,373,365 × 235,373,365
  4. Step 4: Simplify right side
    153,130,964x = 55,400,620,951,423,224
  5. Step 5: Solve for x
    x = 55,400,620,951,423,224/153,130,964
  6. Step 6: Final answer
    x = 361,785,882.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.