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Finding the Third Proportional to 415,562 and 554,601

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Solution

The third proportional to 415,562 and 554,601 is: 740,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,562 : 554,601 = 554,601 : x
  2. Step 2: Convert to fraction form
    415,562/554,601 = 554,601/x
  3. Step 3: Cross multiply
    415,562x = 554,601 × 554,601
  4. Step 4: Simplify right side
    415,562x = 307,582,269,201
  5. Step 5: Solve for x
    x = 307,582,269,201/415,562
  6. Step 6: Final answer
    x = 740,159.76

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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.