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Finding the Third Proportional to 103,680 and 149,859

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Solution

The third proportional to 103,680 and 149,859 is: 216,606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,680 : 149,859 = 149,859 : x
  2. Step 2: Convert to fraction form
    103,680/149,859 = 149,859/x
  3. Step 3: Cross multiply
    103,680x = 149,859 × 149,859
  4. Step 4: Simplify right side
    103,680x = 22,457,719,881
  5. Step 5: Solve for x
    x = 22,457,719,881/103,680
  6. Step 6: Final answer
    x = 216,606.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.