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Finding the Third Proportional to 703.78 and 813.84

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Solution

The third proportional to 703.78 and 813.84 is: 941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.78 : 813.84 = 813.84 : x
  2. Step 2: Convert to fraction form
    703.78/813.84 = 813.84/x
  3. Step 3: Cross multiply
    703.78x = 813.84 × 813.84
  4. Step 4: Simplify right side
    703.78x = 662,341.65
  5. Step 5: Solve for x
    x = 662,341.65/703.78
  6. Step 6: Final answer
    x = 941.12

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.