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Finding the Third Proportional to 349,986 and 542,961

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Solution

The third proportional to 349,986 and 542,961 is: 842,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,986 : 542,961 = 542,961 : x
  2. Step 2: Convert to fraction form
    349,986/542,961 = 542,961/x
  3. Step 3: Cross multiply
    349,986x = 542,961 × 542,961
  4. Step 4: Simplify right side
    349,986x = 294,806,647,521
  5. Step 5: Solve for x
    x = 294,806,647,521/349,986
  6. Step 6: Final answer
    x = 842,338.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.