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Finding the Third Proportional to 253,998 and 542,979

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Solution

The third proportional to 253,998 and 542,979 is: 1,160,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,998 : 542,979 = 542,979 : x
  2. Step 2: Convert to fraction form
    253,998/542,979 = 542,979/x
  3. Step 3: Cross multiply
    253,998x = 542,979 × 542,979
  4. Step 4: Simplify right side
    253,998x = 294,826,194,441
  5. Step 5: Solve for x
    x = 294,826,194,441/253,998
  6. Step 6: Final answer
    x = 1,160,742.19

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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.