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Finding the Third Proportional to 20,826 and 29,680.88

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Solution

The third proportional to 20,826 and 29,680.88 is: 42,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826 : 29,680.88 = 29,680.88 : x
  2. Step 2: Convert to fraction form
    20,826/29,680.88 = 29,680.88/x
  3. Step 3: Cross multiply
    20,826x = 29,680.88 × 29,680.88
  4. Step 4: Simplify right side
    20,826x = 880,954,340.77
  5. Step 5: Solve for x
    x = 880,954,340.77/20,826
  6. Step 6: Final answer
    x = 42,300.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.