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Finding the Third Proportional to 101,781 and 149,630

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Solution

The third proportional to 101,781 and 149,630 is: 219,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,781 : 149,630 = 149,630 : x
  2. Step 2: Convert to fraction form
    101,781/149,630 = 149,630/x
  3. Step 3: Cross multiply
    101,781x = 149,630 × 149,630
  4. Step 4: Simplify right side
    101,781x = 22,389,136,900
  5. Step 5: Solve for x
    x = 22,389,136,900/101,781
  6. Step 6: Final answer
    x = 219,973.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.