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Finding the Third Proportional to 99,909.07 and 215,811.21

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Solution

The third proportional to 99,909.07 and 215,811.21 is: 466,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,909.07 : 215,811.21 = 215,811.21 : x
  2. Step 2: Convert to fraction form
    99,909.07/215,811.21 = 215,811.21/x
  3. Step 3: Cross multiply
    99,909.07x = 215,811.21 × 215,811.21
  4. Step 4: Simplify right side
    99,909.07x = 46,574,478,766.31
  5. Step 5: Solve for x
    x = 46,574,478,766.31/99,909.07
  6. Step 6: Final answer
    x = 466,168.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.