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Finding the Third Proportional to 3,488 and 5,557

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Solution

The third proportional to 3,488 and 5,557 is: 8,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488 : 5,557 = 5,557 : x
  2. Step 2: Convert to fraction form
    3,488/5,557 = 5,557/x
  3. Step 3: Cross multiply
    3,488x = 5,557 × 5,557
  4. Step 4: Simplify right side
    3,488x = 30,880,249
  5. Step 5: Solve for x
    x = 30,880,249/3,488
  6. Step 6: Final answer
    x = 8,853.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.