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Finding the Third Proportional to 348.50 and 538.13

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Solution

The third proportional to 348.50 and 538.13 is: 830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.50 : 538.13 = 538.13 : x
  2. Step 2: Convert to fraction form
    348.50/538.13 = 538.13/x
  3. Step 3: Cross multiply
    348.50x = 538.13 × 538.13
  4. Step 4: Simplify right side
    348.50x = 289,578.52
  5. Step 5: Solve for x
    x = 289,578.52/348.50
  6. Step 6: Final answer
    x = 830.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.