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Finding the Third Proportional to 31,172 and 48,290

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Solution

The third proportional to 31,172 and 48,290 is: 74,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,172 : 48,290 = 48,290 : x
  2. Step 2: Convert to fraction form
    31,172/48,290 = 48,290/x
  3. Step 3: Cross multiply
    31,172x = 48,290 × 48,290
  4. Step 4: Simplify right side
    31,172x = 2,331,924,100
  5. Step 5: Solve for x
    x = 2,331,924,100/31,172
  6. Step 6: Final answer
    x = 74,808.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.