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Finding the Third Proportional to 622.69 and 902.00

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Solution

The third proportional to 622.69 and 902.00 is: 1,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.69 : 902.00 = 902.00 : x
  2. Step 2: Convert to fraction form
    622.69/902.00 = 902.00/x
  3. Step 3: Cross multiply
    622.69x = 902.00 × 902.00
  4. Step 4: Simplify right side
    622.69x = 813,595.19
  5. Step 5: Solve for x
    x = 813,595.19/622.69
  6. Step 6: Final answer
    x = 1,306.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.