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Finding the Third Proportional to 641,421 and 1,384,542

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Solution

The third proportional to 641,421 and 1,384,542 is: 2,988,608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,421 : 1,384,542 = 1,384,542 : x
  2. Step 2: Convert to fraction form
    641,421/1,384,542 = 1,384,542/x
  3. Step 3: Cross multiply
    641,421x = 1,384,542 × 1,384,542
  4. Step 4: Simplify right side
    641,421x = 1,916,956,549,764
  5. Step 5: Solve for x
    x = 1,916,956,549,764/641,421
  6. Step 6: Final answer
    x = 2,988,608.96

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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.