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Finding the Third Proportional to 156,080 and 337,120

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Solution

The third proportional to 156,080 and 337,120 is: 728,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,080 : 337,120 = 337,120 : x
  2. Step 2: Convert to fraction form
    156,080/337,120 = 337,120/x
  3. Step 3: Cross multiply
    156,080x = 337,120 × 337,120
  4. Step 4: Simplify right side
    156,080x = 113,649,894,400
  5. Step 5: Solve for x
    x = 113,649,894,400/156,080
  6. Step 6: Final answer
    x = 728,151.55

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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.