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Finding the Third Proportional to 51,446 and 77,717

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Solution

The third proportional to 51,446 and 77,717 is: 117,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,446 : 77,717 = 77,717 : x
  2. Step 2: Convert to fraction form
    51,446/77,717 = 77,717/x
  3. Step 3: Cross multiply
    51,446x = 77,717 × 77,717
  4. Step 4: Simplify right side
    51,446x = 6,039,932,089
  5. Step 5: Solve for x
    x = 6,039,932,089/51,446
  6. Step 6: Final answer
    x = 117,403.34

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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.