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Finding the Third Proportional to 665.72 and 974.53

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Solution

The third proportional to 665.72 and 974.53 is: 1,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.72 : 974.53 = 974.53 : x
  2. Step 2: Convert to fraction form
    665.72/974.53 = 974.53/x
  3. Step 3: Cross multiply
    665.72x = 974.53 × 974.53
  4. Step 4: Simplify right side
    665.72x = 949,711.16
  5. Step 5: Solve for x
    x = 949,711.16/665.72
  6. Step 6: Final answer
    x = 1,426.60

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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.