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Finding the Third Proportional to 100.68 and 214.55

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Solution

The third proportional to 100.68 and 214.55 is: 457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.68 : 214.55 = 214.55 : x
  2. Step 2: Convert to fraction form
    100.68/214.55 = 214.55/x
  3. Step 3: Cross multiply
    100.68x = 214.55 × 214.55
  4. Step 4: Simplify right side
    100.68x = 46,030.36
  5. Step 5: Solve for x
    x = 46,030.36/100.68
  6. Step 6: Final answer
    x = 457.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.