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Finding the Third Proportional to 756.14 and 1,658.36

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Solution

The third proportional to 756.14 and 1,658.36 is: 3,637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.14 : 1,658.36 = 1,658.36 : x
  2. Step 2: Convert to fraction form
    756.14/1,658.36 = 1,658.36/x
  3. Step 3: Cross multiply
    756.14x = 1,658.36 × 1,658.36
  4. Step 4: Simplify right side
    756.14x = 2,750,155.61
  5. Step 5: Solve for x
    x = 2,750,155.61/756.14
  6. Step 6: Final answer
    x = 3,637.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.