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Finding the Third Proportional to 111,667.50 and 243,016.50

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Solution

The third proportional to 111,667.50 and 243,016.50 is: 528,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,667.50 : 243,016.50 = 243,016.50 : x
  2. Step 2: Convert to fraction form
    111,667.50/243,016.50 = 243,016.50/x
  3. Step 3: Cross multiply
    111,667.50x = 243,016.50 × 243,016.50
  4. Step 4: Simplify right side
    111,667.50x = 59,057,019,272.25
  5. Step 5: Solve for x
    x = 59,057,019,272.25/111,667.50
  6. Step 6: Final answer
    x = 528,864.88

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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.