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Finding the Third Proportional to 111,294 and 247,509

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Solution

The third proportional to 111,294 and 247,509 is: 550,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,294 : 247,509 = 247,509 : x
  2. Step 2: Convert to fraction form
    111,294/247,509 = 247,509/x
  3. Step 3: Cross multiply
    111,294x = 247,509 × 247,509
  4. Step 4: Simplify right side
    111,294x = 61,260,705,081
  5. Step 5: Solve for x
    x = 61,260,705,081/111,294
  6. Step 6: Final answer
    x = 550,440.32

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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.