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Finding the Third Proportional to 511,998 and 679,398

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Solution

The third proportional to 511,998 and 679,398 is: 901,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,998 : 679,398 = 679,398 : x
  2. Step 2: Convert to fraction form
    511,998/679,398 = 679,398/x
  3. Step 3: Cross multiply
    511,998x = 679,398 × 679,398
  4. Step 4: Simplify right side
    511,998x = 461,581,642,404
  5. Step 5: Solve for x
    x = 461,581,642,404/511,998
  6. Step 6: Final answer
    x = 901,530.17

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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.