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Finding the Third Proportional to 505.88 and 760.38

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Solution

The third proportional to 505.88 and 760.38 is: 1,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.88 : 760.38 = 760.38 : x
  2. Step 2: Convert to fraction form
    505.88/760.38 = 760.38/x
  3. Step 3: Cross multiply
    505.88x = 760.38 × 760.38
  4. Step 4: Simplify right side
    505.88x = 578,170.14
  5. Step 5: Solve for x
    x = 578,170.14/505.88
  6. Step 6: Final answer
    x = 1,142.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.