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Finding the Third Proportional to 72,775 and 156,674

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Solution

The third proportional to 72,775 and 156,674 is: 337,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,775 : 156,674 = 156,674 : x
  2. Step 2: Convert to fraction form
    72,775/156,674 = 156,674/x
  3. Step 3: Cross multiply
    72,775x = 156,674 × 156,674
  4. Step 4: Simplify right side
    72,775x = 24,546,742,276
  5. Step 5: Solve for x
    x = 24,546,742,276/72,775
  6. Step 6: Final answer
    x = 337,296.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.