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Finding the Third Proportional to 458.91 and 699.09

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Solution

The third proportional to 458.91 and 699.09 is: 1,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.91 : 699.09 = 699.09 : x
  2. Step 2: Convert to fraction form
    458.91/699.09 = 699.09/x
  3. Step 3: Cross multiply
    458.91x = 699.09 × 699.09
  4. Step 4: Simplify right side
    458.91x = 488,732.07
  5. Step 5: Solve for x
    x = 488,732.07/458.91
  6. Step 6: Final answer
    x = 1,064.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.