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Finding the Third Proportional to 455.20 and 699.89

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Solution

The third proportional to 455.20 and 699.89 is: 1,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.20 : 699.89 = 699.89 : x
  2. Step 2: Convert to fraction form
    455.20/699.89 = 699.89/x
  3. Step 3: Cross multiply
    455.20x = 699.89 × 699.89
  4. Step 4: Simplify right side
    455.20x = 489,846.89
  5. Step 5: Solve for x
    x = 489,846.89/455.20
  6. Step 6: Final answer
    x = 1,076.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.