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Finding the Third Proportional to 70,388 and 149,920

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Solution

The third proportional to 70,388 and 149,920 is: 319,315.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,388 : 149,920 = 149,920 : x
  2. Step 2: Convert to fraction form
    70,388/149,920 = 149,920/x
  3. Step 3: Cross multiply
    70,388x = 149,920 × 149,920
  4. Step 4: Simplify right side
    70,388x = 22,476,006,400
  5. Step 5: Solve for x
    x = 22,476,006,400/70,388
  6. Step 6: Final answer
    x = 319,315.88

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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.