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Finding the Third Proportional to 37,078 and 79,988

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Solution

The third proportional to 37,078 and 79,988 is: 172,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,078 : 79,988 = 79,988 : x
  2. Step 2: Convert to fraction form
    37,078/79,988 = 79,988/x
  3. Step 3: Cross multiply
    37,078x = 79,988 × 79,988
  4. Step 4: Simplify right side
    37,078x = 6,398,080,144
  5. Step 5: Solve for x
    x = 6,398,080,144/37,078
  6. Step 6: Final answer
    x = 172,557.32

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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.