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Finding the Third Proportional to 156,084 and 337,128

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Solution

The third proportional to 156,084 and 337,128 is: 728,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,084 : 337,128 = 337,128 : x
  2. Step 2: Convert to fraction form
    156,084/337,128 = 337,128/x
  3. Step 3: Cross multiply
    156,084x = 337,128 × 337,128
  4. Step 4: Simplify right side
    156,084x = 113,655,288,384
  5. Step 5: Solve for x
    x = 113,655,288,384/156,084
  6. Step 6: Final answer
    x = 728,167.45

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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.