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Finding the Third Proportional to 493.17 and 623.32

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Solution

The third proportional to 493.17 and 623.32 is: 787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.17 : 623.32 = 623.32 : x
  2. Step 2: Convert to fraction form
    493.17/623.32 = 623.32/x
  3. Step 3: Cross multiply
    493.17x = 623.32 × 623.32
  4. Step 4: Simplify right side
    493.17x = 388,528.21
  5. Step 5: Solve for x
    x = 388,528.21/493.17
  6. Step 6: Final answer
    x = 787.82

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.