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Finding the Third Proportional to 74,708 and 156,340

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Solution

The third proportional to 74,708 and 156,340 is: 327,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,708 : 156,340 = 156,340 : x
  2. Step 2: Convert to fraction form
    74,708/156,340 = 156,340/x
  3. Step 3: Cross multiply
    74,708x = 156,340 × 156,340
  4. Step 4: Simplify right side
    74,708x = 24,442,195,600
  5. Step 5: Solve for x
    x = 24,442,195,600/74,708
  6. Step 6: Final answer
    x = 327,169.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.