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Finding the Third Proportional to 142,754,659 and 312,711,223

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Solution

The third proportional to 142,754,659 and 312,711,223 is: 685,009,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,754,659 : 312,711,223 = 312,711,223 : x
  2. Step 2: Convert to fraction form
    142,754,659/312,711,223 = 312,711,223/x
  3. Step 3: Cross multiply
    142,754,659x = 312,711,223 × 312,711,223
  4. Step 4: Simplify right side
    142,754,659x = 97,788,308,990,155,728
  5. Step 5: Solve for x
    x = 97,788,308,990,155,728/142,754,659
  6. Step 6: Final answer
    x = 685,009,579.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.