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Finding the Third Proportional to 66,487 and 103,065

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Solution

The third proportional to 66,487 and 103,065 is: 159,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,487 : 103,065 = 103,065 : x
  2. Step 2: Convert to fraction form
    66,487/103,065 = 103,065/x
  3. Step 3: Cross multiply
    66,487x = 103,065 × 103,065
  4. Step 4: Simplify right side
    66,487x = 10,622,394,225
  5. Step 5: Solve for x
    x = 10,622,394,225/66,487
  6. Step 6: Final answer
    x = 159,766.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.