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Finding the Third Proportional to 99,459.75 and 203,515.13

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Solution

The third proportional to 99,459.75 and 203,515.13 is: 416,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,459.75 : 203,515.13 = 203,515.13 : x
  2. Step 2: Convert to fraction form
    99,459.75/203,515.13 = 203,515.13/x
  3. Step 3: Cross multiply
    99,459.75x = 203,515.13 × 203,515.13
  4. Step 4: Simplify right side
    99,459.75x = 41,418,406,103.77
  5. Step 5: Solve for x
    x = 41,418,406,103.77/99,459.75
  6. Step 6: Final answer
    x = 416,433.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.