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Finding the Third Proportional to 349.08 and 726.86

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Solution

The third proportional to 349.08 and 726.86 is: 1,513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.08 : 726.86 = 726.86 : x
  2. Step 2: Convert to fraction form
    349.08/726.86 = 726.86/x
  3. Step 3: Cross multiply
    349.08x = 726.86 × 726.86
  4. Step 4: Simplify right side
    349.08x = 528,331.65
  5. Step 5: Solve for x
    x = 528,331.65/349.08
  6. Step 6: Final answer
    x = 1,513.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.