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Finding the Third Proportional to 3,497 and 7,156

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Solution

The third proportional to 3,497 and 7,156 is: 14,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497 : 7,156 = 7,156 : x
  2. Step 2: Convert to fraction form
    3,497/7,156 = 7,156/x
  3. Step 3: Cross multiply
    3,497x = 7,156 × 7,156
  4. Step 4: Simplify right side
    3,497x = 51,208,336
  5. Step 5: Solve for x
    x = 51,208,336/3,497
  6. Step 6: Final answer
    x = 14,643.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.