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Finding the Third Proportional to 51,912 and 77,788

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Solution

The third proportional to 51,912 and 77,788 is: 116,562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,912 : 77,788 = 77,788 : x
  2. Step 2: Convert to fraction form
    51,912/77,788 = 77,788/x
  3. Step 3: Cross multiply
    51,912x = 77,788 × 77,788
  4. Step 4: Simplify right side
    51,912x = 6,050,972,944
  5. Step 5: Solve for x
    x = 6,050,972,944/51,912
  6. Step 6: Final answer
    x = 116,562.12

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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.