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Finding the Third Proportional to 12,309 and 18,459.75

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Solution

The third proportional to 12,309 and 18,459.75 is: 27,684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309 : 18,459.75 = 18,459.75 : x
  2. Step 2: Convert to fraction form
    12,309/18,459.75 = 18,459.75/x
  3. Step 3: Cross multiply
    12,309x = 18,459.75 × 18,459.75
  4. Step 4: Simplify right side
    12,309x = 340,762,370.06
  5. Step 5: Solve for x
    x = 340,762,370.06/12,309
  6. Step 6: Final answer
    x = 27,684.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.