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Finding the Third Proportional to 688,999.22 and 1,013,815.69

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Solution

The third proportional to 688,999.22 and 1,013,815.69 is: 1,491,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,999.22 : 1,013,815.69 = 1,013,815.69 : x
  2. Step 2: Convert to fraction form
    688,999.22/1,013,815.69 = 1,013,815.69/x
  3. Step 3: Cross multiply
    688,999.22x = 1,013,815.69 × 1,013,815.69
  4. Step 4: Simplify right side
    688,999.22x = 1,027,822,248,221.10
  5. Step 5: Solve for x
    x = 1,027,822,248,221.10/688,999.22
  6. Step 6: Final answer
    x = 1,491,761.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.