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Finding the Third Proportional to 20,428 and 31,235

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Solution

The third proportional to 20,428 and 31,235 is: 47,759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428 : 31,235 = 31,235 : x
  2. Step 2: Convert to fraction form
    20,428/31,235 = 31,235/x
  3. Step 3: Cross multiply
    20,428x = 31,235 × 31,235
  4. Step 4: Simplify right side
    20,428x = 975,625,225
  5. Step 5: Solve for x
    x = 975,625,225/20,428
  6. Step 6: Final answer
    x = 47,759.21

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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.