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Finding the Third Proportional to 84,132 and 129,492

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Solution

The third proportional to 84,132 and 129,492 is: 199,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,132 : 129,492 = 129,492 : x
  2. Step 2: Convert to fraction form
    84,132/129,492 = 129,492/x
  3. Step 3: Cross multiply
    84,132x = 129,492 × 129,492
  4. Step 4: Simplify right side
    84,132x = 16,768,178,064
  5. Step 5: Solve for x
    x = 16,768,178,064/84,132
  6. Step 6: Final answer
    x = 199,307.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.