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Finding the Third Proportional to 70,140 and 149,442

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Solution

The third proportional to 70,140 and 149,442 is: 318,404.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,140 : 149,442 = 149,442 : x
  2. Step 2: Convert to fraction form
    70,140/149,442 = 149,442/x
  3. Step 3: Cross multiply
    70,140x = 149,442 × 149,442
  4. Step 4: Simplify right side
    70,140x = 22,332,911,364
  5. Step 5: Solve for x
    x = 22,332,911,364/70,140
  6. Step 6: Final answer
    x = 318,404.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.