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Finding the Third Proportional to 20,278 and 30,332

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Solution

The third proportional to 20,278 and 30,332 is: 45,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,278 : 30,332 = 30,332 : x
  2. Step 2: Convert to fraction form
    20,278/30,332 = 30,332/x
  3. Step 3: Cross multiply
    20,278x = 30,332 × 30,332
  4. Step 4: Simplify right side
    20,278x = 920,030,224
  5. Step 5: Solve for x
    x = 920,030,224/20,278
  6. Step 6: Final answer
    x = 45,370.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.