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Finding the Third Proportional to 31,890 and 69,609

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Solution

The third proportional to 31,890 and 69,609 is: 151,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,890 : 69,609 = 69,609 : x
  2. Step 2: Convert to fraction form
    31,890/69,609 = 69,609/x
  3. Step 3: Cross multiply
    31,890x = 69,609 × 69,609
  4. Step 4: Simplify right side
    31,890x = 4,845,412,881
  5. Step 5: Solve for x
    x = 4,845,412,881/31,890
  6. Step 6: Final answer
    x = 151,941.45

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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.