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Finding the Third Proportional to 20,540 and 31,715.75

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Solution

The third proportional to 20,540 and 31,715.75 is: 48,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540 : 31,715.75 = 31,715.75 : x
  2. Step 2: Convert to fraction form
    20,540/31,715.75 = 31,715.75/x
  3. Step 3: Cross multiply
    20,540x = 31,715.75 × 31,715.75
  4. Step 4: Simplify right side
    20,540x = 1,005,888,798.06
  5. Step 5: Solve for x
    x = 1,005,888,798.06/20,540
  6. Step 6: Final answer
    x = 48,972.19

Related Problems

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1.5x scale

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.