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Finding the Third Proportional to 4,509 and 9,861

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Solution

The third proportional to 4,509 and 9,861 is: 21,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509 : 9,861 = 9,861 : x
  2. Step 2: Convert to fraction form
    4,509/9,861 = 9,861/x
  3. Step 3: Cross multiply
    4,509x = 9,861 × 9,861
  4. Step 4: Simplify right side
    4,509x = 97,239,321
  5. Step 5: Solve for x
    x = 97,239,321/4,509
  6. Step 6: Final answer
    x = 21,565.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.