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Finding the Third Proportional to 31,127 and 48,278

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Solution

The third proportional to 31,127 and 48,278 is: 74,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,127 : 48,278 = 48,278 : x
  2. Step 2: Convert to fraction form
    31,127/48,278 = 48,278/x
  3. Step 3: Cross multiply
    31,127x = 48,278 × 48,278
  4. Step 4: Simplify right side
    31,127x = 2,330,765,284
  5. Step 5: Solve for x
    x = 2,330,765,284/31,127
  6. Step 6: Final answer
    x = 74,879.21

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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.