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Finding the Third Proportional to 372,512 and 781,520

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Solution

The third proportional to 372,512 and 781,520 is: 1,639,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,512 : 781,520 = 781,520 : x
  2. Step 2: Convert to fraction form
    372,512/781,520 = 781,520/x
  3. Step 3: Cross multiply
    372,512x = 781,520 × 781,520
  4. Step 4: Simplify right side
    372,512x = 610,773,510,400
  5. Step 5: Solve for x
    x = 610,773,510,400/372,512
  6. Step 6: Final answer
    x = 1,639,607.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.