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Finding the Third Proportional to 316.90 and 504.07

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Solution

The third proportional to 316.90 and 504.07 is: 801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.90 : 504.07 = 504.07 : x
  2. Step 2: Convert to fraction form
    316.90/504.07 = 504.07/x
  3. Step 3: Cross multiply
    316.90x = 504.07 × 504.07
  4. Step 4: Simplify right side
    316.90x = 254,086.88
  5. Step 5: Solve for x
    x = 254,086.88/316.90
  6. Step 6: Final answer
    x = 801.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.