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Finding the Third Proportional to 243,872 and 366,456

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Solution

The third proportional to 243,872 and 366,456 is: 550,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,872 : 366,456 = 366,456 : x
  2. Step 2: Convert to fraction form
    243,872/366,456 = 366,456/x
  3. Step 3: Cross multiply
    243,872x = 366,456 × 366,456
  4. Step 4: Simplify right side
    243,872x = 134,289,999,936
  5. Step 5: Solve for x
    x = 134,289,999,936/243,872
  6. Step 6: Final answer
    x = 550,657.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.