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Finding the Third Proportional to 70,143.75 and 149,049

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Solution

The third proportional to 70,143.75 and 149,049 is: 316,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,143.75 : 149,049 = 149,049 : x
  2. Step 2: Convert to fraction form
    70,143.75/149,049 = 149,049/x
  3. Step 3: Cross multiply
    70,143.75x = 149,049 × 149,049
  4. Step 4: Simplify right side
    70,143.75x = 22,215,604,401
  5. Step 5: Solve for x
    x = 22,215,604,401/70,143.75
  6. Step 6: Final answer
    x = 316,715.38

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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.