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Finding the Third Proportional to 214.76 and 317.36

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Solution

The third proportional to 214.76 and 317.36 is: 468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.76 : 317.36 = 317.36 : x
  2. Step 2: Convert to fraction form
    214.76/317.36 = 317.36/x
  3. Step 3: Cross multiply
    214.76x = 317.36 × 317.36
  4. Step 4: Simplify right side
    214.76x = 100,714.49
  5. Step 5: Solve for x
    x = 100,714.49/214.76
  6. Step 6: Final answer
    x = 468.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.