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Finding the Third Proportional to 312,758.25 and 517,663.13

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Solution

The third proportional to 312,758.25 and 517,663.13 is: 856,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,758.25 : 517,663.13 = 517,663.13 : x
  2. Step 2: Convert to fraction form
    312,758.25/517,663.13 = 517,663.13/x
  3. Step 3: Cross multiply
    312,758.25x = 517,663.13 × 517,663.13
  4. Step 4: Simplify right side
    312,758.25x = 267,975,110,984.77
  5. Step 5: Solve for x
    x = 267,975,110,984.77/312,758.25
  6. Step 6: Final answer
    x = 856,812.29

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.