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Finding the Third Proportional to 9,089 and 19,276.50

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Solution

The third proportional to 9,089 and 19,276.50 is: 40,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089 : 19,276.50 = 19,276.50 : x
  2. Step 2: Convert to fraction form
    9,089/19,276.50 = 19,276.50/x
  3. Step 3: Cross multiply
    9,089x = 19,276.50 × 19,276.50
  4. Step 4: Simplify right side
    9,089x = 371,583,452.25
  5. Step 5: Solve for x
    x = 371,583,452.25/9,089
  6. Step 6: Final answer
    x = 40,882.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.