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Finding the Third Proportional to 622.21 and 914.10

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Solution

The third proportional to 622.21 and 914.10 is: 1,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.21 : 914.10 = 914.10 : x
  2. Step 2: Convert to fraction form
    622.21/914.10 = 914.10/x
  3. Step 3: Cross multiply
    622.21x = 914.10 × 914.10
  4. Step 4: Simplify right side
    622.21x = 835,574.53
  5. Step 5: Solve for x
    x = 835,574.53/622.21
  6. Step 6: Final answer
    x = 1,342.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.