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Finding the Third Proportional to 485,882.30 and 762,139.13

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Solution

The third proportional to 485,882.30 and 762,139.13 is: 1,195,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,882.30 : 762,139.13 = 762,139.13 : x
  2. Step 2: Convert to fraction form
    485,882.30/762,139.13 = 762,139.13/x
  3. Step 3: Cross multiply
    485,882.30x = 762,139.13 × 762,139.13
  4. Step 4: Simplify right side
    485,882.30x = 580,856,045,855.77
  5. Step 5: Solve for x
    x = 580,856,045,855.77/485,882.30
  6. Step 6: Final answer
    x = 1,195,466.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.