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Finding the Third Proportional to 638.51 and 1,013.45

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Solution

The third proportional to 638.51 and 1,013.45 is: 1,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.51 : 1,013.45 = 1,013.45 : x
  2. Step 2: Convert to fraction form
    638.51/1,013.45 = 1,013.45/x
  3. Step 3: Cross multiply
    638.51x = 1,013.45 × 1,013.45
  4. Step 4: Simplify right side
    638.51x = 1,027,079.32
  5. Step 5: Solve for x
    x = 1,027,079.32/638.51
  6. Step 6: Final answer
    x = 1,608.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.