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Finding the Third Proportional to 4,089 and 8,419.50

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Solution

The third proportional to 4,089 and 8,419.50 is: 17,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089 : 8,419.50 = 8,419.50 : x
  2. Step 2: Convert to fraction form
    4,089/8,419.50 = 8,419.50/x
  3. Step 3: Cross multiply
    4,089x = 8,419.50 × 8,419.50
  4. Step 4: Simplify right side
    4,089x = 70,887,980.25
  5. Step 5: Solve for x
    x = 70,887,980.25/4,089
  6. Step 6: Final answer
    x = 17,336.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.