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Finding the Third Proportional to 514.81 and 801.05

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Solution

The third proportional to 514.81 and 801.05 is: 1,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.81 : 801.05 = 801.05 : x
  2. Step 2: Convert to fraction form
    514.81/801.05 = 801.05/x
  3. Step 3: Cross multiply
    514.81x = 801.05 × 801.05
  4. Step 4: Simplify right side
    514.81x = 641,676.10
  5. Step 5: Solve for x
    x = 641,676.10/514.81
  6. Step 6: Final answer
    x = 1,246.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.