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Finding the Third Proportional to 545.25 and 829.25

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Solution

The third proportional to 545.25 and 829.25 is: 1,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.25 : 829.25 = 829.25 : x
  2. Step 2: Convert to fraction form
    545.25/829.25 = 829.25/x
  3. Step 3: Cross multiply
    545.25x = 829.25 × 829.25
  4. Step 4: Simplify right side
    545.25x = 687,655.56
  5. Step 5: Solve for x
    x = 687,655.56/545.25
  6. Step 6: Final answer
    x = 1,261.17

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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.