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Finding the Third Proportional to 733.50 and 808.88

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Solution

The third proportional to 733.50 and 808.88 is: 892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.50 : 808.88 = 808.88 : x
  2. Step 2: Convert to fraction form
    733.50/808.88 = 808.88/x
  3. Step 3: Cross multiply
    733.50x = 808.88 × 808.88
  4. Step 4: Simplify right side
    733.50x = 654,278.77
  5. Step 5: Solve for x
    x = 654,278.77/733.50
  6. Step 6: Final answer
    x = 892.00

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.