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Finding the Third Proportional to 37,078 and 79,989

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Solution

The third proportional to 37,078 and 79,989 is: 172,561.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,078 : 79,989 = 79,989 : x
  2. Step 2: Convert to fraction form
    37,078/79,989 = 79,989/x
  3. Step 3: Cross multiply
    37,078x = 79,989 × 79,989
  4. Step 4: Simplify right side
    37,078x = 6,398,240,121
  5. Step 5: Solve for x
    x = 6,398,240,121/37,078
  6. Step 6: Final answer
    x = 172,561.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.