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Finding the Third Proportional to 315.88 and 459.63

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Solution

The third proportional to 315.88 and 459.63 is: 668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.88 : 459.63 = 459.63 : x
  2. Step 2: Convert to fraction form
    315.88/459.63 = 459.63/x
  3. Step 3: Cross multiply
    315.88x = 459.63 × 459.63
  4. Step 4: Simplify right side
    315.88x = 211,255.14
  5. Step 5: Solve for x
    x = 211,255.14/315.88
  6. Step 6: Final answer
    x = 668.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.