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Finding the Third Proportional to 103,681 and 149,860

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Solution

The third proportional to 103,681 and 149,860 is: 216,606.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,681 : 149,860 = 149,860 : x
  2. Step 2: Convert to fraction form
    103,681/149,860 = 149,860/x
  3. Step 3: Cross multiply
    103,681x = 149,860 × 149,860
  4. Step 4: Simplify right side
    103,681x = 22,458,019,600
  5. Step 5: Solve for x
    x = 22,458,019,600/103,681
  6. Step 6: Final answer
    x = 216,606.90

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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.