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Finding the Third Proportional to 8,748 and 20,425.50

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Solution

The third proportional to 8,748 and 20,425.50 is: 47,691.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,748 : 20,425.50 = 20,425.50 : x
  2. Step 2: Convert to fraction form
    8,748/20,425.50 = 20,425.50/x
  3. Step 3: Cross multiply
    8,748x = 20,425.50 × 20,425.50
  4. Step 4: Simplify right side
    8,748x = 417,201,050.25
  5. Step 5: Solve for x
    x = 417,201,050.25/8,748
  6. Step 6: Final answer
    x = 47,691.02

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.