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Finding the Third Proportional to 51,945 and 77,918

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Solution

The third proportional to 51,945 and 77,918 is: 116,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,945 : 77,918 = 77,918 : x
  2. Step 2: Convert to fraction form
    51,945/77,918 = 77,918/x
  3. Step 3: Cross multiply
    51,945x = 77,918 × 77,918
  4. Step 4: Simplify right side
    51,945x = 6,071,214,724
  5. Step 5: Solve for x
    x = 6,071,214,724/51,945
  6. Step 6: Final answer
    x = 116,877.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.