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Finding the Third Proportional to 34,716 and 51,990

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Solution

The third proportional to 34,716 and 51,990 is: 77,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,716 : 51,990 = 51,990 : x
  2. Step 2: Convert to fraction form
    34,716/51,990 = 51,990/x
  3. Step 3: Cross multiply
    34,716x = 51,990 × 51,990
  4. Step 4: Simplify right side
    34,716x = 2,702,960,100
  5. Step 5: Solve for x
    x = 2,702,960,100/34,716
  6. Step 6: Final answer
    x = 77,859.20

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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.