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Finding the Third Proportional to 12,783 and 27,387.38

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Solution

The third proportional to 12,783 and 27,387.38 is: 58,677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783 : 27,387.38 = 27,387.38 : x
  2. Step 2: Convert to fraction form
    12,783/27,387.38 = 27,387.38/x
  3. Step 3: Cross multiply
    12,783x = 27,387.38 × 27,387.38
  4. Step 4: Simplify right side
    12,783x = 750,068,309.39
  5. Step 5: Solve for x
    x = 750,068,309.39/12,783
  6. Step 6: Final answer
    x = 58,677.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.