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Finding the Third Proportional to 99,450 and 216,214

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Solution

The third proportional to 99,450 and 216,214 is: 470,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,450 : 216,214 = 216,214 : x
  2. Step 2: Convert to fraction form
    99,450/216,214 = 216,214/x
  3. Step 3: Cross multiply
    99,450x = 216,214 × 216,214
  4. Step 4: Simplify right side
    99,450x = 46,748,493,796
  5. Step 5: Solve for x
    x = 46,748,493,796/99,450
  6. Step 6: Final answer
    x = 470,070.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.