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Finding the Third Proportional to 620.53 and 897.28

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Solution

The third proportional to 620.53 and 897.28 is: 1,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.53 : 897.28 = 897.28 : x
  2. Step 2: Convert to fraction form
    620.53/897.28 = 897.28/x
  3. Step 3: Cross multiply
    620.53x = 897.28 × 897.28
  4. Step 4: Simplify right side
    620.53x = 805,113.64
  5. Step 5: Solve for x
    x = 805,113.64/620.53
  6. Step 6: Final answer
    x = 1,297.46

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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.