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Finding the Third Proportional to 314.63 and 461.63

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Solution

The third proportional to 314.63 and 461.63 is: 677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.63 : 461.63 = 461.63 : x
  2. Step 2: Convert to fraction form
    314.63/461.63 = 461.63/x
  3. Step 3: Cross multiply
    314.63x = 461.63 × 461.63
  4. Step 4: Simplify right side
    314.63x = 213,097.64
  5. Step 5: Solve for x
    x = 213,097.64/314.63
  6. Step 6: Final answer
    x = 677.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.