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Finding the Third Proportional to 20,292 and 31,210

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Solution

The third proportional to 20,292 and 31,210 is: 48,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,292 : 31,210 = 31,210 : x
  2. Step 2: Convert to fraction form
    20,292/31,210 = 31,210/x
  3. Step 3: Cross multiply
    20,292x = 31,210 × 31,210
  4. Step 4: Simplify right side
    20,292x = 974,064,100
  5. Step 5: Solve for x
    x = 974,064,100/20,292
  6. Step 6: Final answer
    x = 48,002.37

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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.