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Finding the Third Proportional to 69,588 and 155,113

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Solution

The third proportional to 69,588 and 155,113 is: 345,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,588 : 155,113 = 155,113 : x
  2. Step 2: Convert to fraction form
    69,588/155,113 = 155,113/x
  3. Step 3: Cross multiply
    69,588x = 155,113 × 155,113
  4. Step 4: Simplify right side
    69,588x = 24,060,042,769
  5. Step 5: Solve for x
    x = 24,060,042,769/69,588
  6. Step 6: Final answer
    x = 345,749.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.