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Finding the Third Proportional to 27,786 and 39,708

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Solution

The third proportional to 27,786 and 39,708 is: 56,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786 : 39,708 = 39,708 : x
  2. Step 2: Convert to fraction form
    27,786/39,708 = 39,708/x
  3. Step 3: Cross multiply
    27,786x = 39,708 × 39,708
  4. Step 4: Simplify right side
    27,786x = 1,576,725,264
  5. Step 5: Solve for x
    x = 1,576,725,264/27,786
  6. Step 6: Final answer
    x = 56,745.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.