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Finding the Third Proportional to 70,147 and 149,055

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Solution

The third proportional to 70,147 and 149,055 is: 316,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,147 : 149,055 = 149,055 : x
  2. Step 2: Convert to fraction form
    70,147/149,055 = 149,055/x
  3. Step 3: Cross multiply
    70,147x = 149,055 × 149,055
  4. Step 4: Simplify right side
    70,147x = 22,217,393,025
  5. Step 5: Solve for x
    x = 22,217,393,025/70,147
  6. Step 6: Final answer
    x = 316,726.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.