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Finding the Third Proportional to 20,929 and 32,315

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Solution

The third proportional to 20,929 and 32,315 is: 49,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,929 : 32,315 = 32,315 : x
  2. Step 2: Convert to fraction form
    20,929/32,315 = 32,315/x
  3. Step 3: Cross multiply
    20,929x = 32,315 × 32,315
  4. Step 4: Simplify right side
    20,929x = 1,044,259,225
  5. Step 5: Solve for x
    x = 1,044,259,225/20,929
  6. Step 6: Final answer
    x = 49,895.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.