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Finding the Third Proportional to 517,458 and 712,551

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Solution

The third proportional to 517,458 and 712,551 is: 981,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,458 : 712,551 = 712,551 : x
  2. Step 2: Convert to fraction form
    517,458/712,551 = 712,551/x
  3. Step 3: Cross multiply
    517,458x = 712,551 × 712,551
  4. Step 4: Simplify right side
    517,458x = 507,728,927,601
  5. Step 5: Solve for x
    x = 507,728,927,601/517,458
  6. Step 6: Final answer
    x = 981,198.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.