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Finding the Third Proportional to 19,561.50 and 38,151

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Solution

The third proportional to 19,561.50 and 38,151 is: 74,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561.50 : 38,151 = 38,151 : x
  2. Step 2: Convert to fraction form
    19,561.50/38,151 = 38,151/x
  3. Step 3: Cross multiply
    19,561.50x = 38,151 × 38,151
  4. Step 4: Simplify right side
    19,561.50x = 1,455,498,801
  5. Step 5: Solve for x
    x = 1,455,498,801/19,561.50
  6. Step 6: Final answer
    x = 74,406.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.