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Finding the Third Proportional to 31,128 and 48,636

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Solution

The third proportional to 31,128 and 48,636 is: 75,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,128 : 48,636 = 48,636 : x
  2. Step 2: Convert to fraction form
    31,128/48,636 = 48,636/x
  3. Step 3: Cross multiply
    31,128x = 48,636 × 48,636
  4. Step 4: Simplify right side
    31,128x = 2,365,460,496
  5. Step 5: Solve for x
    x = 2,365,460,496/31,128
  6. Step 6: Final answer
    x = 75,991.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.