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Finding the Third Proportional to 511,625 and 715,651

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Solution

The third proportional to 511,625 and 715,651 is: 1,001,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,625 : 715,651 = 715,651 : x
  2. Step 2: Convert to fraction form
    511,625/715,651 = 715,651/x
  3. Step 3: Cross multiply
    511,625x = 715,651 × 715,651
  4. Step 4: Simplify right side
    511,625x = 512,156,353,801
  5. Step 5: Solve for x
    x = 512,156,353,801/511,625
  6. Step 6: Final answer
    x = 1,001,038.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.