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Finding the Third Proportional to 253,991 and 542,972

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Solution

The third proportional to 253,991 and 542,972 is: 1,160,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,991 : 542,972 = 542,972 : x
  2. Step 2: Convert to fraction form
    253,991/542,972 = 542,972/x
  3. Step 3: Cross multiply
    253,991x = 542,972 × 542,972
  4. Step 4: Simplify right side
    253,991x = 294,818,592,784
  5. Step 5: Solve for x
    x = 294,818,592,784/253,991
  6. Step 6: Final answer
    x = 1,160,744.25

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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.