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Finding the Third Proportional to 76,470.50 and 179,917

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Solution

The third proportional to 76,470.50 and 179,917 is: 423,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,470.50 : 179,917 = 179,917 : x
  2. Step 2: Convert to fraction form
    76,470.50/179,917 = 179,917/x
  3. Step 3: Cross multiply
    76,470.50x = 179,917 × 179,917
  4. Step 4: Simplify right side
    76,470.50x = 32,370,126,889
  5. Step 5: Solve for x
    x = 32,370,126,889/76,470.50
  6. Step 6: Final answer
    x = 423,302.15

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.