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Finding the Third Proportional to 10,221 and 15,877.50

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Solution

The third proportional to 10,221 and 15,877.50 is: 24,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221 : 15,877.50 = 15,877.50 : x
  2. Step 2: Convert to fraction form
    10,221/15,877.50 = 15,877.50/x
  3. Step 3: Cross multiply
    10,221x = 15,877.50 × 15,877.50
  4. Step 4: Simplify right side
    10,221x = 252,095,006.25
  5. Step 5: Solve for x
    x = 252,095,006.25/10,221
  6. Step 6: Final answer
    x = 24,664.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.