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Finding the Third Proportional to 664.50 and 971.81

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Solution

The third proportional to 664.50 and 971.81 is: 1,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.50 : 971.81 = 971.81 : x
  2. Step 2: Convert to fraction form
    664.50/971.81 = 971.81/x
  3. Step 3: Cross multiply
    664.50x = 971.81 × 971.81
  4. Step 4: Simplify right side
    664.50x = 944,419.54
  5. Step 5: Solve for x
    x = 944,419.54/664.50
  6. Step 6: Final answer
    x = 1,421.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.