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Finding the Third Proportional to 31,202 and 40,479

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Solution

The third proportional to 31,202 and 40,479 is: 52,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202 : 40,479 = 40,479 : x
  2. Step 2: Convert to fraction form
    31,202/40,479 = 40,479/x
  3. Step 3: Cross multiply
    31,202x = 40,479 × 40,479
  4. Step 4: Simplify right side
    31,202x = 1,638,549,441
  5. Step 5: Solve for x
    x = 1,638,549,441/31,202
  6. Step 6: Final answer
    x = 52,514.24

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.