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Finding the Third Proportional to 425,637 and 870,957

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Solution

The third proportional to 425,637 and 870,957 is: 1,782,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,637 : 870,957 = 870,957 : x
  2. Step 2: Convert to fraction form
    425,637/870,957 = 870,957/x
  3. Step 3: Cross multiply
    425,637x = 870,957 × 870,957
  4. Step 4: Simplify right side
    425,637x = 758,566,095,849
  5. Step 5: Solve for x
    x = 758,566,095,849/425,637
  6. Step 6: Final answer
    x = 1,782,190.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.