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Finding the Third Proportional to 349,939 and 542,891

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Solution

The third proportional to 349,939 and 542,891 is: 842,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,939 : 542,891 = 542,891 : x
  2. Step 2: Convert to fraction form
    349,939/542,891 = 542,891/x
  3. Step 3: Cross multiply
    349,939x = 542,891 × 542,891
  4. Step 4: Simplify right side
    349,939x = 294,730,637,881
  5. Step 5: Solve for x
    x = 294,730,637,881/349,939
  6. Step 6: Final answer
    x = 842,234.33

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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.