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Finding the Third Proportional to 78,013.13 and 121,034.25

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Solution

The third proportional to 78,013.13 and 121,034.25 is: 187,779.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,013.13 : 121,034.25 = 121,034.25 : x
  2. Step 2: Convert to fraction form
    78,013.13/121,034.25 = 121,034.25/x
  3. Step 3: Cross multiply
    78,013.13x = 121,034.25 × 121,034.25
  4. Step 4: Simplify right side
    78,013.13x = 14,649,289,673.06
  5. Step 5: Solve for x
    x = 14,649,289,673.06/78,013.13
  6. Step 6: Final answer
    x = 187,779.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.