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Finding the Third Proportional to 660.38 and 1,457.63

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Solution

The third proportional to 660.38 and 1,457.63 is: 3,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.38 : 1,457.63 = 1,457.63 : x
  2. Step 2: Convert to fraction form
    660.38/1,457.63 = 1,457.63/x
  3. Step 3: Cross multiply
    660.38x = 1,457.63 × 1,457.63
  4. Step 4: Simplify right side
    660.38x = 2,124,670.64
  5. Step 5: Solve for x
    x = 2,124,670.64/660.38
  6. Step 6: Final answer
    x = 3,217.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.