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Finding the Third Proportional to 434,604 and 639,336

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Solution

The third proportional to 434,604 and 639,336 is: 940,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,604 : 639,336 = 639,336 : x
  2. Step 2: Convert to fraction form
    434,604/639,336 = 639,336/x
  3. Step 3: Cross multiply
    434,604x = 639,336 × 639,336
  4. Step 4: Simplify right side
    434,604x = 408,750,520,896
  5. Step 5: Solve for x
    x = 408,750,520,896/434,604
  6. Step 6: Final answer
    x = 940,512.56

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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.