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Finding the Third Proportional to 464.06 and 663.19

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Solution

The third proportional to 464.06 and 663.19 is: 947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.06 : 663.19 = 663.19 : x
  2. Step 2: Convert to fraction form
    464.06/663.19 = 663.19/x
  3. Step 3: Cross multiply
    464.06x = 663.19 × 663.19
  4. Step 4: Simplify right side
    464.06x = 439,817.66
  5. Step 5: Solve for x
    x = 439,817.66/464.06
  6. Step 6: Final answer
    x = 947.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.