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Finding the Third Proportional to 2,972 and 6,646

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Solution

The third proportional to 2,972 and 6,646 is: 14,861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972 : 6,646 = 6,646 : x
  2. Step 2: Convert to fraction form
    2,972/6,646 = 6,646/x
  3. Step 3: Cross multiply
    2,972x = 6,646 × 6,646
  4. Step 4: Simplify right side
    2,972x = 44,169,316
  5. Step 5: Solve for x
    x = 44,169,316/2,972
  6. Step 6: Final answer
    x = 14,861.82

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.