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Finding the Third Proportional to 84,294 and 126,213

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Solution

The third proportional to 84,294 and 126,213 is: 188,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,294 : 126,213 = 126,213 : x
  2. Step 2: Convert to fraction form
    84,294/126,213 = 126,213/x
  3. Step 3: Cross multiply
    84,294x = 126,213 × 126,213
  4. Step 4: Simplify right side
    84,294x = 15,929,721,369
  5. Step 5: Solve for x
    x = 15,929,721,369/84,294
  6. Step 6: Final answer
    x = 188,978.12

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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.