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Finding the Third Proportional to 312,665,718 and 416,840,169

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Solution

The third proportional to 312,665,718 and 416,840,169 is: 555,723,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,665,718 : 416,840,169 = 416,840,169 : x
  2. Step 2: Convert to fraction form
    312,665,718/416,840,169 = 416,840,169/x
  3. Step 3: Cross multiply
    312,665,718x = 416,840,169 × 416,840,169
  4. Step 4: Simplify right side
    312,665,718x = 173,755,726,491,948,576
  5. Step 5: Solve for x
    x = 173,755,726,491,948,576/312,665,718
  6. Step 6: Final answer
    x = 555,723,625.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.