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Finding the Third Proportional to 20,422 and 31,233.75

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Solution

The third proportional to 20,422 and 31,233.75 is: 47,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422 : 31,233.75 = 31,233.75 : x
  2. Step 2: Convert to fraction form
    20,422/31,233.75 = 31,233.75/x
  3. Step 3: Cross multiply
    20,422x = 31,233.75 × 31,233.75
  4. Step 4: Simplify right side
    20,422x = 975,547,139.06
  5. Step 5: Solve for x
    x = 975,547,139.06/20,422
  6. Step 6: Final answer
    x = 47,769.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.