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Finding the Third Proportional to 11,447 and 18,278.50

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Solution

The third proportional to 11,447 and 18,278.50 is: 29,187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447 : 18,278.50 = 18,278.50 : x
  2. Step 2: Convert to fraction form
    11,447/18,278.50 = 18,278.50/x
  3. Step 3: Cross multiply
    11,447x = 18,278.50 × 18,278.50
  4. Step 4: Simplify right side
    11,447x = 334,103,562.25
  5. Step 5: Solve for x
    x = 334,103,562.25/11,447
  6. Step 6: Final answer
    x = 29,187.00

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.