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Finding the Third Proportional to 84,510 and 126,501.19

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Solution

The third proportional to 84,510 and 126,501.19 is: 189,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,510 : 126,501.19 = 126,501.19 : x
  2. Step 2: Convert to fraction form
    84,510/126,501.19 = 126,501.19/x
  3. Step 3: Cross multiply
    84,510x = 126,501.19 × 126,501.19
  4. Step 4: Simplify right side
    84,510x = 16,002,550,438.91
  5. Step 5: Solve for x
    x = 16,002,550,438.91/84,510
  6. Step 6: Final answer
    x = 189,356.89

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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.