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Finding the Third Proportional to 66,810 and 155,361

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Solution

The third proportional to 66,810 and 155,361 is: 361,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,810 : 155,361 = 155,361 : x
  2. Step 2: Convert to fraction form
    66,810/155,361 = 155,361/x
  3. Step 3: Cross multiply
    66,810x = 155,361 × 155,361
  4. Step 4: Simplify right side
    66,810x = 24,137,040,321
  5. Step 5: Solve for x
    x = 24,137,040,321/66,810
  6. Step 6: Final answer
    x = 361,278.86

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.