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Finding the Third Proportional to 243,669 and 365,505

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Solution

The third proportional to 243,669 and 365,505 is: 548,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,669 : 365,505 = 365,505 : x
  2. Step 2: Convert to fraction form
    243,669/365,505 = 365,505/x
  3. Step 3: Cross multiply
    243,669x = 365,505 × 365,505
  4. Step 4: Simplify right side
    243,669x = 133,593,905,025
  5. Step 5: Solve for x
    x = 133,593,905,025/243,669
  6. Step 6: Final answer
    x = 548,259.75

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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.