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Finding the Third Proportional to 153.77 and 317.16

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Solution

The third proportional to 153.77 and 317.16 is: 654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.77 : 317.16 = 317.16 : x
  2. Step 2: Convert to fraction form
    153.77/317.16 = 317.16/x
  3. Step 3: Cross multiply
    153.77x = 317.16 × 317.16
  4. Step 4: Simplify right side
    153.77x = 100,589.02
  5. Step 5: Solve for x
    x = 100,589.02/153.77
  6. Step 6: Final answer
    x = 654.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.