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Finding the Third Proportional to 9,117.56 and 13,440.94

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Solution

The third proportional to 9,117.56 and 13,440.94 is: 19,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.56 : 13,440.94 = 13,440.94 : x
  2. Step 2: Convert to fraction form
    9,117.56/13,440.94 = 13,440.94/x
  3. Step 3: Cross multiply
    9,117.56x = 13,440.94 × 13,440.94
  4. Step 4: Simplify right side
    9,117.56x = 180,658,800.88
  5. Step 5: Solve for x
    x = 180,658,800.88/9,117.56
  6. Step 6: Final answer
    x = 19,814.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.