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Finding the Third Proportional to 505.13 and 675.19

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Solution

The third proportional to 505.13 and 675.19 is: 902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.13 : 675.19 = 675.19 : x
  2. Step 2: Convert to fraction form
    505.13/675.19 = 675.19/x
  3. Step 3: Cross multiply
    505.13x = 675.19 × 675.19
  4. Step 4: Simplify right side
    505.13x = 455,878.16
  5. Step 5: Solve for x
    x = 455,878.16/505.13
  6. Step 6: Final answer
    x = 902.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.