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Finding the Third Proportional to 643,454 and 1,398,957

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Solution

The third proportional to 643,454 and 1,398,957 is: 3,041,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,454 : 1,398,957 = 1,398,957 : x
  2. Step 2: Convert to fraction form
    643,454/1,398,957 = 1,398,957/x
  3. Step 3: Cross multiply
    643,454x = 1,398,957 × 1,398,957
  4. Step 4: Simplify right side
    643,454x = 1,957,080,687,849
  5. Step 5: Solve for x
    x = 1,957,080,687,849/643,454
  6. Step 6: Final answer
    x = 3,041,523.85

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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.