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Finding the Third Proportional to 5,398 and 6,406

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Solution

The third proportional to 5,398 and 6,406 is: 7,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398 : 6,406 = 6,406 : x
  2. Step 2: Convert to fraction form
    5,398/6,406 = 6,406/x
  3. Step 3: Cross multiply
    5,398x = 6,406 × 6,406
  4. Step 4: Simplify right side
    5,398x = 41,036,836
  5. Step 5: Solve for x
    x = 41,036,836/5,398
  6. Step 6: Final answer
    x = 7,602.23

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.