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Finding the Third Proportional to 415,560 and 554,598

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Solution

The third proportional to 415,560 and 554,598 is: 740,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,560 : 554,598 = 554,598 : x
  2. Step 2: Convert to fraction form
    415,560/554,598 = 554,598/x
  3. Step 3: Cross multiply
    415,560x = 554,598 × 554,598
  4. Step 4: Simplify right side
    415,560x = 307,578,941,604
  5. Step 5: Solve for x
    x = 307,578,941,604/415,560
  6. Step 6: Final answer
    x = 740,155.31

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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.