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Finding the Third Proportional to 5,490 and 7,843

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Solution

The third proportional to 5,490 and 7,843 is: 11,204.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490 : 7,843 = 7,843 : x
  2. Step 2: Convert to fraction form
    5,490/7,843 = 7,843/x
  3. Step 3: Cross multiply
    5,490x = 7,843 × 7,843
  4. Step 4: Simplify right side
    5,490x = 61,512,649
  5. Step 5: Solve for x
    x = 61,512,649/5,490
  6. Step 6: Final answer
    x = 11,204.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.