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Finding the Third Proportional to 477.98 and 699.12

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Solution

The third proportional to 477.98 and 699.12 is: 1,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.98 : 699.12 = 699.12 : x
  2. Step 2: Convert to fraction form
    477.98/699.12 = 699.12/x
  3. Step 3: Cross multiply
    477.98x = 699.12 × 699.12
  4. Step 4: Simplify right side
    477.98x = 488,764.84
  5. Step 5: Solve for x
    x = 488,764.84/477.98
  6. Step 6: Final answer
    x = 1,022.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.