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Finding the Third Proportional to 31,973 and 68,347

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Solution

The third proportional to 31,973 and 68,347 is: 146,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,973 : 68,347 = 68,347 : x
  2. Step 2: Convert to fraction form
    31,973/68,347 = 68,347/x
  3. Step 3: Cross multiply
    31,973x = 68,347 × 68,347
  4. Step 4: Simplify right side
    31,973x = 4,671,312,409
  5. Step 5: Solve for x
    x = 4,671,312,409/31,973
  6. Step 6: Final answer
    x = 146,101.79

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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.