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Finding the Third Proportional to 296,432 and 639,520

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Solution

The third proportional to 296,432 and 639,520 is: 1,379,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,432 : 639,520 = 639,520 : x
  2. Step 2: Convert to fraction form
    296,432/639,520 = 639,520/x
  3. Step 3: Cross multiply
    296,432x = 639,520 × 639,520
  4. Step 4: Simplify right side
    296,432x = 408,985,830,400
  5. Step 5: Solve for x
    x = 408,985,830,400/296,432
  6. Step 6: Final answer
    x = 1,379,695.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.