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Finding the Third Proportional to 118,972 and 158,612

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Solution

The third proportional to 118,972 and 158,612 is: 211,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,972 : 158,612 = 158,612 : x
  2. Step 2: Convert to fraction form
    118,972/158,612 = 158,612/x
  3. Step 3: Cross multiply
    118,972x = 158,612 × 158,612
  4. Step 4: Simplify right side
    118,972x = 25,157,766,544
  5. Step 5: Solve for x
    x = 25,157,766,544/118,972
  6. Step 6: Final answer
    x = 211,459.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.