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Finding the Third Proportional to 505.90 and 674.51

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Solution

The third proportional to 505.90 and 674.51 is: 899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.90 : 674.51 = 674.51 : x
  2. Step 2: Convert to fraction form
    505.90/674.51 = 674.51/x
  3. Step 3: Cross multiply
    505.90x = 674.51 × 674.51
  4. Step 4: Simplify right side
    505.90x = 454,960.79
  5. Step 5: Solve for x
    x = 454,960.79/505.90
  6. Step 6: Final answer
    x = 899.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.