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Finding the Third Proportional to 220,942,523 and 331,413,785

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Solution

The third proportional to 220,942,523 and 331,413,785 is: 497,120,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,942,523 : 331,413,785 = 331,413,785 : x
  2. Step 2: Convert to fraction form
    220,942,523/331,413,785 = 331,413,785/x
  3. Step 3: Cross multiply
    220,942,523x = 331,413,785 × 331,413,785
  4. Step 4: Simplify right side
    220,942,523x = 109,835,096,888,026,224
  5. Step 5: Solve for x
    x = 109,835,096,888,026,224/220,942,523
  6. Step 6: Final answer
    x = 497,120,678.25

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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.