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Finding the Third Proportional to 553.22 and 1,303.17

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Solution

The third proportional to 553.22 and 1,303.17 is: 3,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.22 : 1,303.17 = 1,303.17 : x
  2. Step 2: Convert to fraction form
    553.22/1,303.17 = 1,303.17/x
  3. Step 3: Cross multiply
    553.22x = 1,303.17 × 1,303.17
  4. Step 4: Simplify right side
    553.22x = 1,698,256.94
  5. Step 5: Solve for x
    x = 1,698,256.94/553.22
  6. Step 6: Final answer
    x = 3,069.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.