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Finding the Third Proportional to 153,778 and 206,916

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Solution

The third proportional to 153,778 and 206,916 is: 278,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,778 : 206,916 = 206,916 : x
  2. Step 2: Convert to fraction form
    153,778/206,916 = 206,916/x
  3. Step 3: Cross multiply
    153,778x = 206,916 × 206,916
  4. Step 4: Simplify right side
    153,778x = 42,814,231,056
  5. Step 5: Solve for x
    x = 42,814,231,056/153,778
  6. Step 6: Final answer
    x = 278,415.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.