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Finding the Third Proportional to 112,670 and 157,530

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Solution

The third proportional to 112,670 and 157,530 is: 220,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,670 : 157,530 = 157,530 : x
  2. Step 2: Convert to fraction form
    112,670/157,530 = 157,530/x
  3. Step 3: Cross multiply
    112,670x = 157,530 × 157,530
  4. Step 4: Simplify right side
    112,670x = 24,815,700,900
  5. Step 5: Solve for x
    x = 24,815,700,900/112,670
  6. Step 6: Final answer
    x = 220,251.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.