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Finding the Third Proportional to 639,344 and 1,065,423

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Solution

The third proportional to 639,344 and 1,065,423 is: 1,775,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,344 : 1,065,423 = 1,065,423 : x
  2. Step 2: Convert to fraction form
    639,344/1,065,423 = 1,065,423/x
  3. Step 3: Cross multiply
    639,344x = 1,065,423 × 1,065,423
  4. Step 4: Simplify right side
    639,344x = 1,135,126,168,929
  5. Step 5: Solve for x
    x = 1,135,126,168,929/639,344
  6. Step 6: Final answer
    x = 1,775,454.48

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.