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Finding the Third Proportional to 120,718 and 187,980

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Solution

The third proportional to 120,718 and 187,980 is: 292,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,718 : 187,980 = 187,980 : x
  2. Step 2: Convert to fraction form
    120,718/187,980 = 187,980/x
  3. Step 3: Cross multiply
    120,718x = 187,980 × 187,980
  4. Step 4: Simplify right side
    120,718x = 35,336,480,400
  5. Step 5: Solve for x
    x = 35,336,480,400/120,718
  6. Step 6: Final answer
    x = 292,719.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.