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Finding the Third Proportional to 657,039 and 726,159

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Solution

The third proportional to 657,039 and 726,159 is: 802,550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,039 : 726,159 = 726,159 : x
  2. Step 2: Convert to fraction form
    657,039/726,159 = 726,159/x
  3. Step 3: Cross multiply
    657,039x = 726,159 × 726,159
  4. Step 4: Simplify right side
    657,039x = 527,306,893,281
  5. Step 5: Solve for x
    x = 527,306,893,281/657,039
  6. Step 6: Final answer
    x = 802,550.37

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.