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Finding the Third Proportional to 106,920 and 149,480

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Solution

The third proportional to 106,920 and 149,480 is: 208,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,920 : 149,480 = 149,480 : x
  2. Step 2: Convert to fraction form
    106,920/149,480 = 149,480/x
  3. Step 3: Cross multiply
    106,920x = 149,480 × 149,480
  4. Step 4: Simplify right side
    106,920x = 22,344,270,400
  5. Step 5: Solve for x
    x = 22,344,270,400/106,920
  6. Step 6: Final answer
    x = 208,981.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.