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Finding the Third Proportional to 818.16 and 1,766.05

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Solution

The third proportional to 818.16 and 1,766.05 is: 3,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.16 : 1,766.05 = 1,766.05 : x
  2. Step 2: Convert to fraction form
    818.16/1,766.05 = 1,766.05/x
  3. Step 3: Cross multiply
    818.16x = 1,766.05 × 1,766.05
  4. Step 4: Simplify right side
    818.16x = 3,118,925.01
  5. Step 5: Solve for x
    x = 3,118,925.01/818.16
  6. Step 6: Final answer
    x = 3,812.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.