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Finding the Third Proportional to 132,987 and 199,480

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Solution

The third proportional to 132,987 and 199,480 is: 299,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,987 : 199,480 = 199,480 : x
  2. Step 2: Convert to fraction form
    132,987/199,480 = 199,480/x
  3. Step 3: Cross multiply
    132,987x = 199,480 × 199,480
  4. Step 4: Simplify right side
    132,987x = 39,792,270,400
  5. Step 5: Solve for x
    x = 39,792,270,400/132,987
  6. Step 6: Final answer
    x = 299,219.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.