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Finding the Third Proportional to 70,328 and 149,882

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Solution

The third proportional to 70,328 and 149,882 is: 319,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,328 : 149,882 = 149,882 : x
  2. Step 2: Convert to fraction form
    70,328/149,882 = 149,882/x
  3. Step 3: Cross multiply
    70,328x = 149,882 × 149,882
  4. Step 4: Simplify right side
    70,328x = 22,464,613,924
  5. Step 5: Solve for x
    x = 22,464,613,924/70,328
  6. Step 6: Final answer
    x = 319,426.32

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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.