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Finding the Third Proportional to 505.30 and 754.84

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Solution

The third proportional to 505.30 and 754.84 is: 1,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.30 : 754.84 = 754.84 : x
  2. Step 2: Convert to fraction form
    505.30/754.84 = 754.84/x
  3. Step 3: Cross multiply
    505.30x = 754.84 × 754.84
  4. Step 4: Simplify right side
    505.30x = 569,783.19
  5. Step 5: Solve for x
    x = 569,783.19/505.30
  6. Step 6: Final answer
    x = 1,127.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.