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Finding the Third Proportional to 445.96 and 710.21

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Solution

The third proportional to 445.96 and 710.21 is: 1,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.96 : 710.21 = 710.21 : x
  2. Step 2: Convert to fraction form
    445.96/710.21 = 710.21/x
  3. Step 3: Cross multiply
    445.96x = 710.21 × 710.21
  4. Step 4: Simplify right side
    445.96x = 504,405.12
  5. Step 5: Solve for x
    x = 504,405.12/445.96
  6. Step 6: Final answer
    x = 1,131.06

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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.