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Finding the Third Proportional to 153,009,810 and 229,963,149

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Solution

The third proportional to 153,009,810 and 229,963,149 is: 345,618,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,009,810 : 229,963,149 = 229,963,149 : x
  2. Step 2: Convert to fraction form
    153,009,810/229,963,149 = 229,963,149/x
  3. Step 3: Cross multiply
    153,009,810x = 229,963,149 × 229,963,149
  4. Step 4: Simplify right side
    153,009,810x = 52,883,049,897,996,200
  5. Step 5: Solve for x
    x = 52,883,049,897,996,200/153,009,810
  6. Step 6: Final answer
    x = 345,618,688.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.