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Finding the Third Proportional to 434,625 and 639,360

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Solution

The third proportional to 434,625 and 639,360 is: 940,537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,625 : 639,360 = 639,360 : x
  2. Step 2: Convert to fraction form
    434,625/639,360 = 639,360/x
  3. Step 3: Cross multiply
    434,625x = 639,360 × 639,360
  4. Step 4: Simplify right side
    434,625x = 408,781,209,600
  5. Step 5: Solve for x
    x = 408,781,209,600/434,625
  6. Step 6: Final answer
    x = 940,537.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.