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Finding the Third Proportional to 78,222.38 and 168,237.84

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Solution

The third proportional to 78,222.38 and 168,237.84 is: 361,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,222.38 : 168,237.84 = 168,237.84 : x
  2. Step 2: Convert to fraction form
    78,222.38/168,237.84 = 168,237.84/x
  3. Step 3: Cross multiply
    78,222.38x = 168,237.84 × 168,237.84
  4. Step 4: Simplify right side
    78,222.38x = 28,303,972,069.65
  5. Step 5: Solve for x
    x = 28,303,972,069.65/78,222.38
  6. Step 6: Final answer
    x = 361,839.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.