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Finding the Third Proportional to 84,578 and 126,604

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Solution

The third proportional to 84,578 and 126,604 is: 189,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,578 : 126,604 = 126,604 : x
  2. Step 2: Convert to fraction form
    84,578/126,604 = 126,604/x
  3. Step 3: Cross multiply
    84,578x = 126,604 × 126,604
  4. Step 4: Simplify right side
    84,578x = 16,028,572,816
  5. Step 5: Solve for x
    x = 16,028,572,816/84,578
  6. Step 6: Final answer
    x = 189,512.32

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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.