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Finding the Third Proportional to 57,778 and 77,281

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Solution

The third proportional to 57,778 and 77,281 is: 103,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,778 : 77,281 = 77,281 : x
  2. Step 2: Convert to fraction form
    57,778/77,281 = 77,281/x
  3. Step 3: Cross multiply
    57,778x = 77,281 × 77,281
  4. Step 4: Simplify right side
    57,778x = 5,972,352,961
  5. Step 5: Solve for x
    x = 5,972,352,961/57,778
  6. Step 6: Final answer
    x = 103,367.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.