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Finding the Third Proportional to 1,680 and 4,416

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Solution

The third proportional to 1,680 and 4,416 is: 11,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680 : 4,416 = 4,416 : x
  2. Step 2: Convert to fraction form
    1,680/4,416 = 4,416/x
  3. Step 3: Cross multiply
    1,680x = 4,416 × 4,416
  4. Step 4: Simplify right side
    1,680x = 19,501,056
  5. Step 5: Solve for x
    x = 19,501,056/1,680
  6. Step 6: Final answer
    x = 11,607.77

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.