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Finding the Third Proportional to 31,318 and 48,899

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Solution

The third proportional to 31,318 and 48,899 is: 76,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,318 : 48,899 = 48,899 : x
  2. Step 2: Convert to fraction form
    31,318/48,899 = 48,899/x
  3. Step 3: Cross multiply
    31,318x = 48,899 × 48,899
  4. Step 4: Simplify right side
    31,318x = 2,391,112,201
  5. Step 5: Solve for x
    x = 2,391,112,201/31,318
  6. Step 6: Final answer
    x = 76,349.45

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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.