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Finding the Third Proportional to 13,780.13 and 21,849.19

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Solution

The third proportional to 13,780.13 and 21,849.19 is: 34,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.13 : 21,849.19 = 21,849.19 : x
  2. Step 2: Convert to fraction form
    13,780.13/21,849.19 = 21,849.19/x
  3. Step 3: Cross multiply
    13,780.13x = 21,849.19 × 21,849.19
  4. Step 4: Simplify right side
    13,780.13x = 477,386,994.41
  5. Step 5: Solve for x
    x = 477,386,994.41/13,780.13
  6. Step 6: Final answer
    x = 34,643.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.