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Finding the Third Proportional to 78,818 and 167,860

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Solution

The third proportional to 78,818 and 167,860 is: 357,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,818 : 167,860 = 167,860 : x
  2. Step 2: Convert to fraction form
    78,818/167,860 = 167,860/x
  3. Step 3: Cross multiply
    78,818x = 167,860 × 167,860
  4. Step 4: Simplify right side
    78,818x = 28,176,979,600
  5. Step 5: Solve for x
    x = 28,176,979,600/78,818
  6. Step 6: Final answer
    x = 357,494.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.