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Finding the Third Proportional to 67,778 and 103,683

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Solution

The third proportional to 67,778 and 103,683 is: 158,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,778 : 103,683 = 103,683 : x
  2. Step 2: Convert to fraction form
    67,778/103,683 = 103,683/x
  3. Step 3: Cross multiply
    67,778x = 103,683 × 103,683
  4. Step 4: Simplify right side
    67,778x = 10,750,164,489
  5. Step 5: Solve for x
    x = 10,750,164,489/67,778
  6. Step 6: Final answer
    x = 158,608.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.