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Finding the Third Proportional to 205,977 and 293,986

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Solution

The third proportional to 205,977 and 293,986 is: 419,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,977 : 293,986 = 293,986 : x
  2. Step 2: Convert to fraction form
    205,977/293,986 = 293,986/x
  3. Step 3: Cross multiply
    205,977x = 293,986 × 293,986
  4. Step 4: Simplify right side
    205,977x = 86,427,768,196
  5. Step 5: Solve for x
    x = 86,427,768,196/205,977
  6. Step 6: Final answer
    x = 419,599.12

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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.