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Finding the Third Proportional to 5,574 and 6,438

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Solution

The third proportional to 5,574 and 6,438 is: 7,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574 : 6,438 = 6,438 : x
  2. Step 2: Convert to fraction form
    5,574/6,438 = 6,438/x
  3. Step 3: Cross multiply
    5,574x = 6,438 × 6,438
  4. Step 4: Simplify right side
    5,574x = 41,447,844
  5. Step 5: Solve for x
    x = 41,447,844/5,574
  6. Step 6: Final answer
    x = 7,435.92

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.