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Finding the Third Proportional to 602,508 and 870,591

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Solution

The third proportional to 602,508 and 870,591 is: 1,257,956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,508 : 870,591 = 870,591 : x
  2. Step 2: Convert to fraction form
    602,508/870,591 = 870,591/x
  3. Step 3: Cross multiply
    602,508x = 870,591 × 870,591
  4. Step 4: Simplify right side
    602,508x = 757,928,689,281
  5. Step 5: Solve for x
    x = 757,928,689,281/602,508
  6. Step 6: Final answer
    x = 1,257,956.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.