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Finding the Third Proportional to 783,691.50 and 1,103,610.75

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Solution

The third proportional to 783,691.50 and 1,103,610.75 is: 1,554,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,691.50 : 1,103,610.75 = 1,103,610.75 : x
  2. Step 2: Convert to fraction form
    783,691.50/1,103,610.75 = 1,103,610.75/x
  3. Step 3: Cross multiply
    783,691.50x = 1,103,610.75 × 1,103,610.75
  4. Step 4: Simplify right side
    783,691.50x = 1,217,956,687,515.56
  5. Step 5: Solve for x
    x = 1,217,956,687,515.56/783,691.50
  6. Step 6: Final answer
    x = 1,554,127.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.