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Finding the Third Proportional to 20,448 and 32,319

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Solution

The third proportional to 20,448 and 32,319 is: 51,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 32,319 = 32,319 : x
  2. Step 2: Convert to fraction form
    20,448/32,319 = 32,319/x
  3. Step 3: Cross multiply
    20,448x = 32,319 × 32,319
  4. Step 4: Simplify right side
    20,448x = 1,044,517,761
  5. Step 5: Solve for x
    x = 1,044,517,761/20,448
  6. Step 6: Final answer
    x = 51,081.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.