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Finding the Third Proportional to 357.53 and 537.25

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Solution

The third proportional to 357.53 and 537.25 is: 807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.53 : 537.25 = 537.25 : x
  2. Step 2: Convert to fraction form
    357.53/537.25 = 537.25/x
  3. Step 3: Cross multiply
    357.53x = 537.25 × 537.25
  4. Step 4: Simplify right side
    357.53x = 288,637.56
  5. Step 5: Solve for x
    x = 288,637.56/357.53
  6. Step 6: Final answer
    x = 807.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.