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Finding the Third Proportional to 622.05 and 1,315.62

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Solution

The third proportional to 622.05 and 1,315.62 is: 2,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.05 : 1,315.62 = 1,315.62 : x
  2. Step 2: Convert to fraction form
    622.05/1,315.62 = 1,315.62/x
  3. Step 3: Cross multiply
    622.05x = 1,315.62 × 1,315.62
  4. Step 4: Simplify right side
    622.05x = 1,730,848.58
  5. Step 5: Solve for x
    x = 1,730,848.58/622.05
  6. Step 6: Final answer
    x = 2,782.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.