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Finding the Third Proportional to 356.91 and 529.17

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Solution

The third proportional to 356.91 and 529.17 is: 784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.91 : 529.17 = 529.17 : x
  2. Step 2: Convert to fraction form
    356.91/529.17 = 529.17/x
  3. Step 3: Cross multiply
    356.91x = 529.17 × 529.17
  4. Step 4: Simplify right side
    356.91x = 280,022.87
  5. Step 5: Solve for x
    x = 280,022.87/356.91
  6. Step 6: Final answer
    x = 784.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.