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Finding the Third Proportional to 12,759.19 and 18,774.28

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Solution

The third proportional to 12,759.19 and 18,774.28 is: 27,625.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759.19 : 18,774.28 = 18,774.28 : x
  2. Step 2: Convert to fraction form
    12,759.19/18,774.28 = 18,774.28/x
  3. Step 3: Cross multiply
    12,759.19x = 18,774.28 × 18,774.28
  4. Step 4: Simplify right side
    12,759.19x = 352,473,636.45
  5. Step 5: Solve for x
    x = 352,473,636.45/12,759.19
  6. Step 6: Final answer
    x = 27,625.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.