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Finding the Third Proportional to 19,132 and 41,032

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Solution

The third proportional to 19,132 and 41,032 is: 88,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,132 : 41,032 = 41,032 : x
  2. Step 2: Convert to fraction form
    19,132/41,032 = 41,032/x
  3. Step 3: Cross multiply
    19,132x = 41,032 × 41,032
  4. Step 4: Simplify right side
    19,132x = 1,683,625,024
  5. Step 5: Solve for x
    x = 1,683,625,024/19,132
  6. Step 6: Final answer
    x = 88,000.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.