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Finding the Third Proportional to 100,438.08 and 216,251.10

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Solution

The third proportional to 100,438.08 and 216,251.10 is: 465,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,438.08 : 216,251.10 = 216,251.10 : x
  2. Step 2: Convert to fraction form
    100,438.08/216,251.10 = 216,251.10/x
  3. Step 3: Cross multiply
    100,438.08x = 216,251.10 × 216,251.10
  4. Step 4: Simplify right side
    100,438.08x = 46,764,540,246.89
  5. Step 5: Solve for x
    x = 46,764,540,246.89/100,438.08
  6. Step 6: Final answer
    x = 465,605.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.