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Finding the Third Proportional to 31,848 and 68,160

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Solution

The third proportional to 31,848 and 68,160 is: 145,873.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,848 : 68,160 = 68,160 : x
  2. Step 2: Convert to fraction form
    31,848/68,160 = 68,160/x
  3. Step 3: Cross multiply
    31,848x = 68,160 × 68,160
  4. Step 4: Simplify right side
    31,848x = 4,645,785,600
  5. Step 5: Solve for x
    x = 4,645,785,600/31,848
  6. Step 6: Final answer
    x = 145,873.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.