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Finding the Third Proportional to 99,204.75 and 215,905.50

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Solution

The third proportional to 99,204.75 and 215,905.50 is: 469,888.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,204.75 : 215,905.50 = 215,905.50 : x
  2. Step 2: Convert to fraction form
    99,204.75/215,905.50 = 215,905.50/x
  3. Step 3: Cross multiply
    99,204.75x = 215,905.50 × 215,905.50
  4. Step 4: Simplify right side
    99,204.75x = 46,615,184,930.25
  5. Step 5: Solve for x
    x = 46,615,184,930.25/99,204.75
  6. Step 6: Final answer
    x = 469,888.64

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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.