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Finding the Third Proportional to 102,540 and 156,750

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Solution

The third proportional to 102,540 and 156,750 is: 239,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,540 : 156,750 = 156,750 : x
  2. Step 2: Convert to fraction form
    102,540/156,750 = 156,750/x
  3. Step 3: Cross multiply
    102,540x = 156,750 × 156,750
  4. Step 4: Simplify right side
    102,540x = 24,570,562,500
  5. Step 5: Solve for x
    x = 24,570,562,500/102,540
  6. Step 6: Final answer
    x = 239,619.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.