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Finding the Third Proportional to 11,098 and 23,448

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Solution

The third proportional to 11,098 and 23,448 is: 49,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098 : 23,448 = 23,448 : x
  2. Step 2: Convert to fraction form
    11,098/23,448 = 23,448/x
  3. Step 3: Cross multiply
    11,098x = 23,448 × 23,448
  4. Step 4: Simplify right side
    11,098x = 549,808,704
  5. Step 5: Solve for x
    x = 549,808,704/11,098
  6. Step 6: Final answer
    x = 49,541.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.