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Finding the Third Proportional to 305.86 and 461.64

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Solution

The third proportional to 305.86 and 461.64 is: 696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.86 : 461.64 = 461.64 : x
  2. Step 2: Convert to fraction form
    305.86/461.64 = 461.64/x
  3. Step 3: Cross multiply
    305.86x = 461.64 × 461.64
  4. Step 4: Simplify right side
    305.86x = 213,108.46
  5. Step 5: Solve for x
    x = 213,108.46/305.86
  6. Step 6: Final answer
    x = 696.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.