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Finding the Third Proportional to 11,417 and 15,409

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Solution

The third proportional to 11,417 and 15,409 is: 20,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417 : 15,409 = 15,409 : x
  2. Step 2: Convert to fraction form
    11,417/15,409 = 15,409/x
  3. Step 3: Cross multiply
    11,417x = 15,409 × 15,409
  4. Step 4: Simplify right side
    11,417x = 237,437,281
  5. Step 5: Solve for x
    x = 237,437,281/11,417
  6. Step 6: Final answer
    x = 20,796.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.