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Finding the Third Proportional to 639,350 and 1,065,432

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Solution

The third proportional to 639,350 and 1,065,432 is: 1,775,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,350 : 1,065,432 = 1,065,432 : x
  2. Step 2: Convert to fraction form
    639,350/1,065,432 = 1,065,432/x
  3. Step 3: Cross multiply
    639,350x = 1,065,432 × 1,065,432
  4. Step 4: Simplify right side
    639,350x = 1,135,145,346,624
  5. Step 5: Solve for x
    x = 1,135,145,346,624/639,350
  6. Step 6: Final answer
    x = 1,775,467.81

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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.