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Finding the Third Proportional to 655.88 and 1,429.88

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Solution

The third proportional to 655.88 and 1,429.88 is: 3,117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.88 : 1,429.88 = 1,429.88 : x
  2. Step 2: Convert to fraction form
    655.88/1,429.88 = 1,429.88/x
  3. Step 3: Cross multiply
    655.88x = 1,429.88 × 1,429.88
  4. Step 4: Simplify right side
    655.88x = 2,044,542.52
  5. Step 5: Solve for x
    x = 2,044,542.52/655.88
  6. Step 6: Final answer
    x = 3,117.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.