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Finding the Third Proportional to 358.78 and 501.84

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Solution

The third proportional to 358.78 and 501.84 is: 701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.78 : 501.84 = 501.84 : x
  2. Step 2: Convert to fraction form
    358.78/501.84 = 501.84/x
  3. Step 3: Cross multiply
    358.78x = 501.84 × 501.84
  4. Step 4: Simplify right side
    358.78x = 251,847.15
  5. Step 5: Solve for x
    x = 251,847.15/358.78
  6. Step 6: Final answer
    x = 701.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.