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Finding the Third Proportional to 54,778 and 78,278

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Solution

The third proportional to 54,778 and 78,278 is: 111,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,778 : 78,278 = 78,278 : x
  2. Step 2: Convert to fraction form
    54,778/78,278 = 78,278/x
  3. Step 3: Cross multiply
    54,778x = 78,278 × 78,278
  4. Step 4: Simplify right side
    54,778x = 6,127,445,284
  5. Step 5: Solve for x
    x = 6,127,445,284/54,778
  6. Step 6: Final answer
    x = 111,859.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.