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Finding the Third Proportional to 644.48 and 1,036.97

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Solution

The third proportional to 644.48 and 1,036.97 is: 1,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.48 : 1,036.97 = 1,036.97 : x
  2. Step 2: Convert to fraction form
    644.48/1,036.97 = 1,036.97/x
  3. Step 3: Cross multiply
    644.48x = 1,036.97 × 1,036.97
  4. Step 4: Simplify right side
    644.48x = 1,075,304.19
  5. Step 5: Solve for x
    x = 1,075,304.19/644.48
  6. Step 6: Final answer
    x = 1,668.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.