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Finding the Third Proportional to 31,973 and 69,775

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Solution

The third proportional to 31,973 and 69,775 is: 152,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,973 : 69,775 = 69,775 : x
  2. Step 2: Convert to fraction form
    31,973/69,775 = 69,775/x
  3. Step 3: Cross multiply
    31,973x = 69,775 × 69,775
  4. Step 4: Simplify right side
    31,973x = 4,868,550,625
  5. Step 5: Solve for x
    x = 4,868,550,625/31,973
  6. Step 6: Final answer
    x = 152,270.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.