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Finding the Third Proportional to 664.44 and 977.41

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Solution

The third proportional to 664.44 and 977.41 is: 1,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.44 : 977.41 = 977.41 : x
  2. Step 2: Convert to fraction form
    664.44/977.41 = 977.41/x
  3. Step 3: Cross multiply
    664.44x = 977.41 × 977.41
  4. Step 4: Simplify right side
    664.44x = 955,337.18
  5. Step 5: Solve for x
    x = 955,337.18/664.44
  6. Step 6: Final answer
    x = 1,437.81

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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.