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Finding the Third Proportional to 358,080 and 517,847

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Solution

The third proportional to 358,080 and 517,847 is: 748,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,080 : 517,847 = 517,847 : x
  2. Step 2: Convert to fraction form
    358,080/517,847 = 517,847/x
  3. Step 3: Cross multiply
    358,080x = 517,847 × 517,847
  4. Step 4: Simplify right side
    358,080x = 268,165,515,409
  5. Step 5: Solve for x
    x = 268,165,515,409/358,080
  6. Step 6: Final answer
    x = 748,898.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.