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Finding the Third Proportional to 461.74 and 677.32

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Solution

The third proportional to 461.74 and 677.32 is: 993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.74 : 677.32 = 677.32 : x
  2. Step 2: Convert to fraction form
    461.74/677.32 = 677.32/x
  3. Step 3: Cross multiply
    461.74x = 677.32 × 677.32
  4. Step 4: Simplify right side
    461.74x = 458,762.81
  5. Step 5: Solve for x
    x = 458,762.81/461.74
  6. Step 6: Final answer
    x = 993.55

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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.