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Finding the Third Proportional to 777.94 and 1,813.13

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Solution

The third proportional to 777.94 and 1,813.13 is: 4,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.94 : 1,813.13 = 1,813.13 : x
  2. Step 2: Convert to fraction form
    777.94/1,813.13 = 1,813.13/x
  3. Step 3: Cross multiply
    777.94x = 1,813.13 × 1,813.13
  4. Step 4: Simplify right side
    777.94x = 3,287,422.27
  5. Step 5: Solve for x
    x = 3,287,422.27/777.94
  6. Step 6: Final answer
    x = 4,225.82

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.