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Finding the Third Proportional to 83,132 and 128,984

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Solution

The third proportional to 83,132 and 128,984 is: 200,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,132 : 128,984 = 128,984 : x
  2. Step 2: Convert to fraction form
    83,132/128,984 = 128,984/x
  3. Step 3: Cross multiply
    83,132x = 128,984 × 128,984
  4. Step 4: Simplify right side
    83,132x = 16,636,872,256
  5. Step 5: Solve for x
    x = 16,636,872,256/83,132
  6. Step 6: Final answer
    x = 200,125.97

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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.