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Finding the Third Proportional to 108,225 and 239,805

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Solution

The third proportional to 108,225 and 239,805 is: 531,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,225 : 239,805 = 239,805 : x
  2. Step 2: Convert to fraction form
    108,225/239,805 = 239,805/x
  3. Step 3: Cross multiply
    108,225x = 239,805 × 239,805
  4. Step 4: Simplify right side
    108,225x = 57,506,438,025
  5. Step 5: Solve for x
    x = 57,506,438,025/108,225
  6. Step 6: Final answer
    x = 531,360.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.