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Finding the Third Proportional to 15,221 and 21,722.50

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Solution

The third proportional to 15,221 and 21,722.50 is: 31,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221 : 21,722.50 = 21,722.50 : x
  2. Step 2: Convert to fraction form
    15,221/21,722.50 = 21,722.50/x
  3. Step 3: Cross multiply
    15,221x = 21,722.50 × 21,722.50
  4. Step 4: Simplify right side
    15,221x = 471,867,006.25
  5. Step 5: Solve for x
    x = 471,867,006.25/15,221
  6. Step 6: Final answer
    x = 31,001.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.