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Finding the Third Proportional to 156,098 and 328,720

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Solution

The third proportional to 156,098 and 328,720 is: 692,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,098 : 328,720 = 328,720 : x
  2. Step 2: Convert to fraction form
    156,098/328,720 = 328,720/x
  3. Step 3: Cross multiply
    156,098x = 328,720 × 328,720
  4. Step 4: Simplify right side
    156,098x = 108,056,838,400
  5. Step 5: Solve for x
    x = 108,056,838,400/156,098
  6. Step 6: Final answer
    x = 692,237.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.