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Finding the Third Proportional to 639,342 and 1,065,420

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Solution

The third proportional to 639,342 and 1,065,420 is: 1,775,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,342 : 1,065,420 = 1,065,420 : x
  2. Step 2: Convert to fraction form
    639,342/1,065,420 = 1,065,420/x
  3. Step 3: Cross multiply
    639,342x = 1,065,420 × 1,065,420
  4. Step 4: Simplify right side
    639,342x = 1,135,119,776,400
  5. Step 5: Solve for x
    x = 1,135,119,776,400/639,342
  6. Step 6: Final answer
    x = 1,775,450.04

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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.