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Finding the Third Proportional to 707.91 and 1,538.79

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Solution

The third proportional to 707.91 and 1,538.79 is: 3,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.91 : 1,538.79 = 1,538.79 : x
  2. Step 2: Convert to fraction form
    707.91/1,538.79 = 1,538.79/x
  3. Step 3: Cross multiply
    707.91x = 1,538.79 × 1,538.79
  4. Step 4: Simplify right side
    707.91x = 2,367,871.78
  5. Step 5: Solve for x
    x = 2,367,871.78/707.91
  6. Step 6: Final answer
    x = 3,344.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.