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Finding the Third Proportional to 110,902.50 and 240,489.42

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Solution

The third proportional to 110,902.50 and 240,489.42 is: 521,495.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,902.50 : 240,489.42 = 240,489.42 : x
  2. Step 2: Convert to fraction form
    110,902.50/240,489.42 = 240,489.42/x
  3. Step 3: Cross multiply
    110,902.50x = 240,489.42 × 240,489.42
  4. Step 4: Simplify right side
    110,902.50x = 57,835,162,033.77
  5. Step 5: Solve for x
    x = 57,835,162,033.77/110,902.50
  6. Step 6: Final answer
    x = 521,495.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.