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Finding the Third Proportional to 31,712 and 68,864

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Solution

The third proportional to 31,712 and 68,864 is: 149,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712 : 68,864 = 68,864 : x
  2. Step 2: Convert to fraction form
    31,712/68,864 = 68,864/x
  3. Step 3: Cross multiply
    31,712x = 68,864 × 68,864
  4. Step 4: Simplify right side
    31,712x = 4,742,250,496
  5. Step 5: Solve for x
    x = 4,742,250,496/31,712
  6. Step 6: Final answer
    x = 149,541.20

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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.