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Finding the Third Proportional to 512,562.38 and 814,618.69

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Solution

The third proportional to 512,562.38 and 814,618.69 is: 1,294,678.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,562.38 : 814,618.69 = 814,618.69 : x
  2. Step 2: Convert to fraction form
    512,562.38/814,618.69 = 814,618.69/x
  3. Step 3: Cross multiply
    512,562.38x = 814,618.69 × 814,618.69
  4. Step 4: Simplify right side
    512,562.38x = 663,603,606,024.22
  5. Step 5: Solve for x
    x = 663,603,606,024.22/512,562.38
  6. Step 6: Final answer
    x = 1,294,678.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.