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Finding the Third Proportional to 602,505 and 870,587

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Solution

The third proportional to 602,505 and 870,587 is: 1,257,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,505 : 870,587 = 870,587 : x
  2. Step 2: Convert to fraction form
    602,505/870,587 = 870,587/x
  3. Step 3: Cross multiply
    602,505x = 870,587 × 870,587
  4. Step 4: Simplify right side
    602,505x = 757,921,724,569
  5. Step 5: Solve for x
    x = 757,921,724,569/602,505
  6. Step 6: Final answer
    x = 1,257,950.93

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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.