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Finding the Third Proportional to 31,448 and 68,438

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Solution

The third proportional to 31,448 and 68,438 is: 148,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,448 : 68,438 = 68,438 : x
  2. Step 2: Convert to fraction form
    31,448/68,438 = 68,438/x
  3. Step 3: Cross multiply
    31,448x = 68,438 × 68,438
  4. Step 4: Simplify right side
    31,448x = 4,683,759,844
  5. Step 5: Solve for x
    x = 4,683,759,844/31,448
  6. Step 6: Final answer
    x = 148,936.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.