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Finding the Third Proportional to 307,368,915 and 472,156,250.25

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Solution

The third proportional to 307,368,915 and 472,156,250.25 is: 725,289,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,368,915 : 472,156,250.25 = 472,156,250.25 : x
  2. Step 2: Convert to fraction form
    307,368,915/472,156,250.25 = 472,156,250.25/x
  3. Step 3: Cross multiply
    307,368,915x = 472,156,250.25 × 472,156,250.25
  4. Step 4: Simplify right side
    307,368,915x = 222,931,524,650,140,640
  5. Step 5: Solve for x
    x = 222,931,524,650,140,640/307,368,915
  6. Step 6: Final answer
    x = 725,289,753.68

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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.