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Finding the Third Proportional to 317.81 and 497.91

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Solution

The third proportional to 317.81 and 497.91 is: 780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.81 : 497.91 = 497.91 : x
  2. Step 2: Convert to fraction form
    317.81/497.91 = 497.91/x
  3. Step 3: Cross multiply
    317.81x = 497.91 × 497.91
  4. Step 4: Simplify right side
    317.81x = 247,910.63
  5. Step 5: Solve for x
    x = 247,910.63/317.81
  6. Step 6: Final answer
    x = 780.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.