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Finding the Third Proportional to 31,488 and 48,069

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Solution

The third proportional to 31,488 and 48,069 is: 73,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488 : 48,069 = 48,069 : x
  2. Step 2: Convert to fraction form
    31,488/48,069 = 48,069/x
  3. Step 3: Cross multiply
    31,488x = 48,069 × 48,069
  4. Step 4: Simplify right side
    31,488x = 2,310,628,761
  5. Step 5: Solve for x
    x = 2,310,628,761/31,488
  6. Step 6: Final answer
    x = 73,381.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.