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Finding the Third Proportional to 374.91 and 492.05

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Solution

The third proportional to 374.91 and 492.05 is: 645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.91 : 492.05 = 492.05 : x
  2. Step 2: Convert to fraction form
    374.91/492.05 = 492.05/x
  3. Step 3: Cross multiply
    374.91x = 492.05 × 492.05
  4. Step 4: Simplify right side
    374.91x = 242,110.13
  5. Step 5: Solve for x
    x = 242,110.13/374.91
  6. Step 6: Final answer
    x = 645.79

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.