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Finding the Third Proportional to 71,877 and 148,364

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Solution

The third proportional to 71,877 and 148,364 is: 306,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,877 : 148,364 = 148,364 : x
  2. Step 2: Convert to fraction form
    71,877/148,364 = 148,364/x
  3. Step 3: Cross multiply
    71,877x = 148,364 × 148,364
  4. Step 4: Simplify right side
    71,877x = 22,011,876,496
  5. Step 5: Solve for x
    x = 22,011,876,496/71,877
  6. Step 6: Final answer
    x = 306,243.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.