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Finding the Third Proportional to 8,438 and 13,557

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Solution

The third proportional to 8,438 and 13,557 is: 21,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438 : 13,557 = 13,557 : x
  2. Step 2: Convert to fraction form
    8,438/13,557 = 13,557/x
  3. Step 3: Cross multiply
    8,438x = 13,557 × 13,557
  4. Step 4: Simplify right side
    8,438x = 183,792,249
  5. Step 5: Solve for x
    x = 183,792,249/8,438
  6. Step 6: Final answer
    x = 21,781.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.