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Finding the Third Proportional to 273.80 and 592.73

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Solution

The third proportional to 273.80 and 592.73 is: 1,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.80 : 592.73 = 592.73 : x
  2. Step 2: Convert to fraction form
    273.80/592.73 = 592.73/x
  3. Step 3: Cross multiply
    273.80x = 592.73 × 592.73
  4. Step 4: Simplify right side
    273.80x = 351,334.04
  5. Step 5: Solve for x
    x = 351,334.04/273.80
  6. Step 6: Final answer
    x = 1,283.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.