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Finding the Third Proportional to 253,987 and 542,965

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Solution

The third proportional to 253,987 and 542,965 is: 1,160,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,987 : 542,965 = 542,965 : x
  2. Step 2: Convert to fraction form
    253,987/542,965 = 542,965/x
  3. Step 3: Cross multiply
    253,987x = 542,965 × 542,965
  4. Step 4: Simplify right side
    253,987x = 294,810,991,225
  5. Step 5: Solve for x
    x = 294,810,991,225/253,987
  6. Step 6: Final answer
    x = 1,160,732.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.