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Finding the Third Proportional to 215.19 and 459.63

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Solution

The third proportional to 215.19 and 459.63 is: 981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.19 : 459.63 = 459.63 : x
  2. Step 2: Convert to fraction form
    215.19/459.63 = 459.63/x
  3. Step 3: Cross multiply
    215.19x = 459.63 × 459.63
  4. Step 4: Simplify right side
    215.19x = 211,255.14
  5. Step 5: Solve for x
    x = 211,255.14/215.19
  6. Step 6: Final answer
    x = 981.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.