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Finding the Third Proportional to 663.19 and 1,044.56

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Solution

The third proportional to 663.19 and 1,044.56 is: 1,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.19 : 1,044.56 = 1,044.56 : x
  2. Step 2: Convert to fraction form
    663.19/1,044.56 = 1,044.56/x
  3. Step 3: Cross multiply
    663.19x = 1,044.56 × 1,044.56
  4. Step 4: Simplify right side
    663.19x = 1,091,110.82
  5. Step 5: Solve for x
    x = 1,091,110.82/663.19
  6. Step 6: Final answer
    x = 1,645.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.