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Finding the Third Proportional to 247,168 and 503,024

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Solution

The third proportional to 247,168 and 503,024 is: 1,023,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,168 : 503,024 = 503,024 : x
  2. Step 2: Convert to fraction form
    247,168/503,024 = 503,024/x
  3. Step 3: Cross multiply
    247,168x = 503,024 × 503,024
  4. Step 4: Simplify right side
    247,168x = 253,033,144,576
  5. Step 5: Solve for x
    x = 253,033,144,576/247,168
  6. Step 6: Final answer
    x = 1,023,729.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.