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Finding the Third Proportional to 61,074 and 87,173

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Solution

The third proportional to 61,074 and 87,173 is: 124,424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,074 : 87,173 = 87,173 : x
  2. Step 2: Convert to fraction form
    61,074/87,173 = 87,173/x
  3. Step 3: Cross multiply
    61,074x = 87,173 × 87,173
  4. Step 4: Simplify right side
    61,074x = 7,599,131,929
  5. Step 5: Solve for x
    x = 7,599,131,929/61,074
  6. Step 6: Final answer
    x = 124,424.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.