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Finding the Third Proportional to 99,324 and 216,120

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Solution

The third proportional to 99,324 and 216,120 is: 470,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,324 : 216,120 = 216,120 : x
  2. Step 2: Convert to fraction form
    99,324/216,120 = 216,120/x
  3. Step 3: Cross multiply
    99,324x = 216,120 × 216,120
  4. Step 4: Simplify right side
    99,324x = 46,707,854,400
  5. Step 5: Solve for x
    x = 46,707,854,400/99,324
  6. Step 6: Final answer
    x = 470,257.48

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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.