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Finding the Third Proportional to 813.01 and 1,762.70

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Solution

The third proportional to 813.01 and 1,762.70 is: 3,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.01 : 1,762.70 = 1,762.70 : x
  2. Step 2: Convert to fraction form
    813.01/1,762.70 = 1,762.70/x
  3. Step 3: Cross multiply
    813.01x = 1,762.70 × 1,762.70
  4. Step 4: Simplify right side
    813.01x = 3,107,108.54
  5. Step 5: Solve for x
    x = 3,107,108.54/813.01
  6. Step 6: Final answer
    x = 3,821.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.