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Finding the Third Proportional to 636,835.50 and 865,343.25

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Solution

The third proportional to 636,835.50 and 865,343.25 is: 1,175,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,835.50 : 865,343.25 = 865,343.25 : x
  2. Step 2: Convert to fraction form
    636,835.50/865,343.25 = 865,343.25/x
  3. Step 3: Cross multiply
    636,835.50x = 865,343.25 × 865,343.25
  4. Step 4: Simplify right side
    636,835.50x = 748,818,940,320.56
  5. Step 5: Solve for x
    x = 748,818,940,320.56/636,835.50
  6. Step 6: Final answer
    x = 1,175,843.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.