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Finding the Third Proportional to 461.88 and 677.63

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Solution

The third proportional to 461.88 and 677.63 is: 994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.88 : 677.63 = 677.63 : x
  2. Step 2: Convert to fraction form
    461.88/677.63 = 677.63/x
  3. Step 3: Cross multiply
    461.88x = 677.63 × 677.63
  4. Step 4: Simplify right side
    461.88x = 459,175.64
  5. Step 5: Solve for x
    x = 459,175.64/461.88
  6. Step 6: Final answer
    x = 994.16

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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.