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Finding the Third Proportional to 415,530 and 554,580

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Solution

The third proportional to 415,530 and 554,580 is: 740,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,530 : 554,580 = 554,580 : x
  2. Step 2: Convert to fraction form
    415,530/554,580 = 554,580/x
  3. Step 3: Cross multiply
    415,530x = 554,580 × 554,580
  4. Step 4: Simplify right side
    415,530x = 307,558,976,400
  5. Step 5: Solve for x
    x = 307,558,976,400/415,530
  6. Step 6: Final answer
    x = 740,160.70

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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.