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Finding the Third Proportional to 109,278 and 240,234

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Solution

The third proportional to 109,278 and 240,234 is: 528,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,278 : 240,234 = 240,234 : x
  2. Step 2: Convert to fraction form
    109,278/240,234 = 240,234/x
  3. Step 3: Cross multiply
    109,278x = 240,234 × 240,234
  4. Step 4: Simplify right side
    109,278x = 57,712,374,756
  5. Step 5: Solve for x
    x = 57,712,374,756/109,278
  6. Step 6: Final answer
    x = 528,124.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.