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Finding the Third Proportional to 400,957 and 871,862

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Solution

The third proportional to 400,957 and 871,862 is: 1,895,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,957 : 871,862 = 871,862 : x
  2. Step 2: Convert to fraction form
    400,957/871,862 = 871,862/x
  3. Step 3: Cross multiply
    400,957x = 871,862 × 871,862
  4. Step 4: Simplify right side
    400,957x = 760,143,347,044
  5. Step 5: Solve for x
    x = 760,143,347,044/400,957
  6. Step 6: Final answer
    x = 1,895,822.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.