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Finding the Third Proportional to 49,240.13 and 78,166.13

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Solution

The third proportional to 49,240.13 and 78,166.13 is: 124,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,240.13 : 78,166.13 = 78,166.13 : x
  2. Step 2: Convert to fraction form
    49,240.13/78,166.13 = 78,166.13/x
  3. Step 3: Cross multiply
    49,240.13x = 78,166.13 × 78,166.13
  4. Step 4: Simplify right side
    49,240.13x = 6,109,943,097.52
  5. Step 5: Solve for x
    x = 6,109,943,097.52/49,240.13
  6. Step 6: Final answer
    x = 124,084.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.