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Finding the Third Proportional to 553.50 and 767.81

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Solution

The third proportional to 553.50 and 767.81 is: 1,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.50 : 767.81 = 767.81 : x
  2. Step 2: Convert to fraction form
    553.50/767.81 = 767.81/x
  3. Step 3: Cross multiply
    553.50x = 767.81 × 767.81
  4. Step 4: Simplify right side
    553.50x = 589,536.04
  5. Step 5: Solve for x
    x = 589,536.04/553.50
  6. Step 6: Final answer
    x = 1,065.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.