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Finding the Third Proportional to 66,755 and 103,328

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Solution

The third proportional to 66,755 and 103,328 is: 159,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,755 : 103,328 = 103,328 : x
  2. Step 2: Convert to fraction form
    66,755/103,328 = 103,328/x
  3. Step 3: Cross multiply
    66,755x = 103,328 × 103,328
  4. Step 4: Simplify right side
    66,755x = 10,676,675,584
  5. Step 5: Solve for x
    x = 10,676,675,584/66,755
  6. Step 6: Final answer
    x = 159,938.22

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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.