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Finding the Third Proportional to 10,217 and 15,785.50

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Solution

The third proportional to 10,217 and 15,785.50 is: 24,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217 : 15,785.50 = 15,785.50 : x
  2. Step 2: Convert to fraction form
    10,217/15,785.50 = 15,785.50/x
  3. Step 3: Cross multiply
    10,217x = 15,785.50 × 15,785.50
  4. Step 4: Simplify right side
    10,217x = 249,182,010.25
  5. Step 5: Solve for x
    x = 249,182,010.25/10,217
  6. Step 6: Final answer
    x = 24,388.96

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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.