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Finding the Third Proportional to 458.25 and 730.31

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Solution

The third proportional to 458.25 and 730.31 is: 1,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.25 : 730.31 = 730.31 : x
  2. Step 2: Convert to fraction form
    458.25/730.31 = 730.31/x
  3. Step 3: Cross multiply
    458.25x = 730.31 × 730.31
  4. Step 4: Simplify right side
    458.25x = 533,356.35
  5. Step 5: Solve for x
    x = 533,356.35/458.25
  6. Step 6: Final answer
    x = 1,163.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.