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Finding the Third Proportional to 78,279 and 174,486.75

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Solution

The third proportional to 78,279 and 174,486.75 is: 388,937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,279 : 174,486.75 = 174,486.75 : x
  2. Step 2: Convert to fraction form
    78,279/174,486.75 = 174,486.75/x
  3. Step 3: Cross multiply
    78,279x = 174,486.75 × 174,486.75
  4. Step 4: Simplify right side
    78,279x = 30,445,625,925.56
  5. Step 5: Solve for x
    x = 30,445,625,925.56/78,279
  6. Step 6: Final answer
    x = 388,937.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.