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Finding the Third Proportional to 21,938 and 32,421

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Solution

The third proportional to 21,938 and 32,421 is: 47,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,938 : 32,421 = 32,421 : x
  2. Step 2: Convert to fraction form
    21,938/32,421 = 32,421/x
  3. Step 3: Cross multiply
    21,938x = 32,421 × 32,421
  4. Step 4: Simplify right side
    21,938x = 1,051,121,241
  5. Step 5: Solve for x
    x = 1,051,121,241/21,938
  6. Step 6: Final answer
    x = 47,913.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.