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Finding the Third Proportional to 477.66 and 739.31

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Solution

The third proportional to 477.66 and 739.31 is: 1,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.66 : 739.31 = 739.31 : x
  2. Step 2: Convert to fraction form
    477.66/739.31 = 739.31/x
  3. Step 3: Cross multiply
    477.66x = 739.31 × 739.31
  4. Step 4: Simplify right side
    477.66x = 546,582.97
  5. Step 5: Solve for x
    x = 546,582.97/477.66
  6. Step 6: Final answer
    x = 1,144.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.