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Finding the Third Proportional to 14,418 and 21,291.75

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Solution

The third proportional to 14,418 and 21,291.75 is: 31,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,418 : 21,291.75 = 21,291.75 : x
  2. Step 2: Convert to fraction form
    14,418/21,291.75 = 21,291.75/x
  3. Step 3: Cross multiply
    14,418x = 21,291.75 × 21,291.75
  4. Step 4: Simplify right side
    14,418x = 453,338,618.06
  5. Step 5: Solve for x
    x = 453,338,618.06/14,418
  6. Step 6: Final answer
    x = 31,442.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.