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Finding the Third Proportional to 33,752.25 and 78,139.13

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Solution

The third proportional to 33,752.25 and 78,139.13 is: 180,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,752.25 : 78,139.13 = 78,139.13 : x
  2. Step 2: Convert to fraction form
    33,752.25/78,139.13 = 78,139.13/x
  3. Step 3: Cross multiply
    33,752.25x = 78,139.13 × 78,139.13
  4. Step 4: Simplify right side
    33,752.25x = 6,105,722,855.77
  5. Step 5: Solve for x
    x = 6,105,722,855.77/33,752.25
  6. Step 6: Final answer
    x = 180,898.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.