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Finding the Third Proportional to 83,132 and 128,987

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Solution

The third proportional to 83,132 and 128,987 is: 200,135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,132 : 128,987 = 128,987 : x
  2. Step 2: Convert to fraction form
    83,132/128,987 = 128,987/x
  3. Step 3: Cross multiply
    83,132x = 128,987 × 128,987
  4. Step 4: Simplify right side
    83,132x = 16,637,646,169
  5. Step 5: Solve for x
    x = 16,637,646,169/83,132
  6. Step 6: Final answer
    x = 200,135.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.