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Finding the Third Proportional to 39,790 and 55,779

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Solution

The third proportional to 39,790 and 55,779 is: 78,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,790 : 55,779 = 55,779 : x
  2. Step 2: Convert to fraction form
    39,790/55,779 = 55,779/x
  3. Step 3: Cross multiply
    39,790x = 55,779 × 55,779
  4. Step 4: Simplify right side
    39,790x = 3,111,296,841
  5. Step 5: Solve for x
    x = 3,111,296,841/39,790
  6. Step 6: Final answer
    x = 78,192.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.