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Finding the Third Proportional to 870,877 and 1,280,704

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Solution

The third proportional to 870,877 and 1,280,704 is: 1,883,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,877 : 1,280,704 = 1,280,704 : x
  2. Step 2: Convert to fraction form
    870,877/1,280,704 = 1,280,704/x
  3. Step 3: Cross multiply
    870,877x = 1,280,704 × 1,280,704
  4. Step 4: Simplify right side
    870,877x = 1,640,202,735,616
  5. Step 5: Solve for x
    x = 1,640,202,735,616/870,877
  6. Step 6: Final answer
    x = 1,883,391.96

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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.