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Finding the Third Proportional to 109,515 and 237,618.75

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Solution

The third proportional to 109,515 and 237,618.75 is: 515,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,515 : 237,618.75 = 237,618.75 : x
  2. Step 2: Convert to fraction form
    109,515/237,618.75 = 237,618.75/x
  3. Step 3: Cross multiply
    109,515x = 237,618.75 × 237,618.75
  4. Step 4: Simplify right side
    109,515x = 56,462,670,351.56
  5. Step 5: Solve for x
    x = 56,462,670,351.56/109,515
  6. Step 6: Final answer
    x = 515,570.20

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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.