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Finding the Third Proportional to 145.22 and 317.91

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Solution

The third proportional to 145.22 and 317.91 is: 695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.22 : 317.91 = 317.91 : x
  2. Step 2: Convert to fraction form
    145.22/317.91 = 317.91/x
  3. Step 3: Cross multiply
    145.22x = 317.91 × 317.91
  4. Step 4: Simplify right side
    145.22x = 101,064.38
  5. Step 5: Solve for x
    x = 101,064.38/145.22
  6. Step 6: Final answer
    x = 695.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.