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Finding the Third Proportional to 20,780 and 32,230

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Solution

The third proportional to 20,780 and 32,230 is: 49,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,780 : 32,230 = 32,230 : x
  2. Step 2: Convert to fraction form
    20,780/32,230 = 32,230/x
  3. Step 3: Cross multiply
    20,780x = 32,230 × 32,230
  4. Step 4: Simplify right side
    20,780x = 1,038,772,900
  5. Step 5: Solve for x
    x = 1,038,772,900/20,780
  6. Step 6: Final answer
    x = 49,989.07

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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.