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Finding the Third Proportional to 19,732.50 and 41,289

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Solution

The third proportional to 19,732.50 and 41,289 is: 86,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.50 : 41,289 = 41,289 : x
  2. Step 2: Convert to fraction form
    19,732.50/41,289 = 41,289/x
  3. Step 3: Cross multiply
    19,732.50x = 41,289 × 41,289
  4. Step 4: Simplify right side
    19,732.50x = 1,704,781,521
  5. Step 5: Solve for x
    x = 1,704,781,521/19,732.50
  6. Step 6: Final answer
    x = 86,394.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.