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Finding the Third Proportional to 70,574 and 151,381

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Solution

The third proportional to 70,574 and 151,381 is: 324,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,574 : 151,381 = 151,381 : x
  2. Step 2: Convert to fraction form
    70,574/151,381 = 151,381/x
  3. Step 3: Cross multiply
    70,574x = 151,381 × 151,381
  4. Step 4: Simplify right side
    70,574x = 22,916,207,161
  5. Step 5: Solve for x
    x = 22,916,207,161/70,574
  6. Step 6: Final answer
    x = 324,711.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.