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Finding the Third Proportional to 400,977 and 867,402

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Solution

The third proportional to 400,977 and 867,402 is: 1,876,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,977 : 867,402 = 867,402 : x
  2. Step 2: Convert to fraction form
    400,977/867,402 = 867,402/x
  3. Step 3: Cross multiply
    400,977x = 867,402 × 867,402
  4. Step 4: Simplify right side
    400,977x = 752,386,229,604
  5. Step 5: Solve for x
    x = 752,386,229,604/400,977
  6. Step 6: Final answer
    x = 1,876,382.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.