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Finding the Third Proportional to 70,040 and 149,920

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Solution

The third proportional to 70,040 and 149,920 is: 320,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,040 : 149,920 = 149,920 : x
  2. Step 2: Convert to fraction form
    70,040/149,920 = 149,920/x
  3. Step 3: Cross multiply
    70,040x = 149,920 × 149,920
  4. Step 4: Simplify right side
    70,040x = 22,476,006,400
  5. Step 5: Solve for x
    x = 22,476,006,400/70,040
  6. Step 6: Final answer
    x = 320,902.43

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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.