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Finding the Third Proportional to 354.90 and 538.76

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Solution

The third proportional to 354.90 and 538.76 is: 817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.90 : 538.76 = 538.76 : x
  2. Step 2: Convert to fraction form
    354.90/538.76 = 538.76/x
  3. Step 3: Cross multiply
    354.90x = 538.76 × 538.76
  4. Step 4: Simplify right side
    354.90x = 290,263.14
  5. Step 5: Solve for x
    x = 290,263.14/354.90
  6. Step 6: Final answer
    x = 817.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.