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Finding the Third Proportional to 505.13 and 830.81

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Solution

The third proportional to 505.13 and 830.81 is: 1,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.13 : 830.81 = 830.81 : x
  2. Step 2: Convert to fraction form
    505.13/830.81 = 830.81/x
  3. Step 3: Cross multiply
    505.13x = 830.81 × 830.81
  4. Step 4: Simplify right side
    505.13x = 690,249.41
  5. Step 5: Solve for x
    x = 690,249.41/505.13
  6. Step 6: Final answer
    x = 1,366.49

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.