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Finding the Third Proportional to 51,412 and 77,982

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Solution

The third proportional to 51,412 and 77,982 is: 118,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,412 : 77,982 = 77,982 : x
  2. Step 2: Convert to fraction form
    51,412/77,982 = 77,982/x
  3. Step 3: Cross multiply
    51,412x = 77,982 × 77,982
  4. Step 4: Simplify right side
    51,412x = 6,081,192,324
  5. Step 5: Solve for x
    x = 6,081,192,324/51,412
  6. Step 6: Final answer
    x = 118,283.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.