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Finding the Third Proportional to 31,583 and 68,229

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Solution

The third proportional to 31,583 and 68,229 is: 147,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,583 : 68,229 = 68,229 : x
  2. Step 2: Convert to fraction form
    31,583/68,229 = 68,229/x
  3. Step 3: Cross multiply
    31,583x = 68,229 × 68,229
  4. Step 4: Simplify right side
    31,583x = 4,655,196,441
  5. Step 5: Solve for x
    x = 4,655,196,441/31,583
  6. Step 6: Final answer
    x = 147,395.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.