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Finding the Third Proportional to 316.09 and 492.64

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Solution

The third proportional to 316.09 and 492.64 is: 767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.09 : 492.64 = 492.64 : x
  2. Step 2: Convert to fraction form
    316.09/492.64 = 492.64/x
  3. Step 3: Cross multiply
    316.09x = 492.64 × 492.64
  4. Step 4: Simplify right side
    316.09x = 242,698.63
  5. Step 5: Solve for x
    x = 242,698.63/316.09
  6. Step 6: Final answer
    x = 767.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.