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Finding the Third Proportional to 870,876 and 1,280,691

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Solution

The third proportional to 870,876 and 1,280,691 is: 1,883,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,876 : 1,280,691 = 1,280,691 : x
  2. Step 2: Convert to fraction form
    870,876/1,280,691 = 1,280,691/x
  3. Step 3: Cross multiply
    870,876x = 1,280,691 × 1,280,691
  4. Step 4: Simplify right side
    870,876x = 1,640,169,437,481
  5. Step 5: Solve for x
    x = 1,640,169,437,481/870,876
  6. Step 6: Final answer
    x = 1,883,355.88

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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.