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Finding the Third Proportional to 621.13 and 968.38

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Solution

The third proportional to 621.13 and 968.38 is: 1,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.13 : 968.38 = 968.38 : x
  2. Step 2: Convert to fraction form
    621.13/968.38 = 968.38/x
  3. Step 3: Cross multiply
    621.13x = 968.38 × 968.38
  4. Step 4: Simplify right side
    621.13x = 937,750.14
  5. Step 5: Solve for x
    x = 937,750.14/621.13
  6. Step 6: Final answer
    x = 1,509.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.