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Finding the Third Proportional to 5,489.57 and 11,813.03

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Solution

The third proportional to 5,489.57 and 11,813.03 is: 25,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.57 : 11,813.03 = 11,813.03 : x
  2. Step 2: Convert to fraction form
    5,489.57/11,813.03 = 11,813.03/x
  3. Step 3: Cross multiply
    5,489.57x = 11,813.03 × 11,813.03
  4. Step 4: Simplify right side
    5,489.57x = 139,547,615.02
  5. Step 5: Solve for x
    x = 139,547,615.02/5,489.57
  6. Step 6: Final answer
    x = 25,420.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.