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Finding the Third Proportional to 51,918 and 78,226

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Solution

The third proportional to 51,918 and 78,226 is: 117,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,918 : 78,226 = 78,226 : x
  2. Step 2: Convert to fraction form
    51,918/78,226 = 78,226/x
  3. Step 3: Cross multiply
    51,918x = 78,226 × 78,226
  4. Step 4: Simplify right side
    51,918x = 6,119,307,076
  5. Step 5: Solve for x
    x = 6,119,307,076/51,918
  6. Step 6: Final answer
    x = 117,864.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.