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Finding the Third Proportional to 66,679.25 and 103,178

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Solution

The third proportional to 66,679.25 and 103,178 is: 159,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,679.25 : 103,178 = 103,178 : x
  2. Step 2: Convert to fraction form
    66,679.25/103,178 = 103,178/x
  3. Step 3: Cross multiply
    66,679.25x = 103,178 × 103,178
  4. Step 4: Simplify right side
    66,679.25x = 10,645,699,684
  5. Step 5: Solve for x
    x = 10,645,699,684/66,679.25
  6. Step 6: Final answer
    x = 159,655.36

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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.