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Finding the Third Proportional to 99,058 and 216,170

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Solution

The third proportional to 99,058 and 216,170 is: 471,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,058 : 216,170 = 216,170 : x
  2. Step 2: Convert to fraction form
    99,058/216,170 = 216,170/x
  3. Step 3: Cross multiply
    99,058x = 216,170 × 216,170
  4. Step 4: Simplify right side
    99,058x = 46,729,468,900
  5. Step 5: Solve for x
    x = 46,729,468,900/99,058
  6. Step 6: Final answer
    x = 471,738.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.