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Finding the Third Proportional to 31,440 and 68,336

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Solution

The third proportional to 31,440 and 68,336 is: 148,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,440 : 68,336 = 68,336 : x
  2. Step 2: Convert to fraction form
    31,440/68,336 = 68,336/x
  3. Step 3: Cross multiply
    31,440x = 68,336 × 68,336
  4. Step 4: Simplify right side
    31,440x = 4,669,808,896
  5. Step 5: Solve for x
    x = 4,669,808,896/31,440
  6. Step 6: Final answer
    x = 148,530.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.