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Finding the Third Proportional to 76,211 and 108,711.50

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Solution

The third proportional to 76,211 and 108,711.50 is: 155,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,211 : 108,711.50 = 108,711.50 : x
  2. Step 2: Convert to fraction form
    76,211/108,711.50 = 108,711.50/x
  3. Step 3: Cross multiply
    76,211x = 108,711.50 × 108,711.50
  4. Step 4: Simplify right side
    76,211x = 11,818,190,232.25
  5. Step 5: Solve for x
    x = 11,818,190,232.25/76,211
  6. Step 6: Final answer
    x = 155,071.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.