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Finding the Third Proportional to 74,500 and 156,656

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Solution

The third proportional to 74,500 and 156,656 is: 329,410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,500 : 156,656 = 156,656 : x
  2. Step 2: Convert to fraction form
    74,500/156,656 = 156,656/x
  3. Step 3: Cross multiply
    74,500x = 156,656 × 156,656
  4. Step 4: Simplify right side
    74,500x = 24,541,102,336
  5. Step 5: Solve for x
    x = 24,541,102,336/74,500
  6. Step 6: Final answer
    x = 329,410.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.