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Finding the Third Proportional to 579.75 and 761.25

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Solution

The third proportional to 579.75 and 761.25 is: 999.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.75 : 761.25 = 761.25 : x
  2. Step 2: Convert to fraction form
    579.75/761.25 = 761.25/x
  3. Step 3: Cross multiply
    579.75x = 761.25 × 761.25
  4. Step 4: Simplify right side
    579.75x = 579,501.56
  5. Step 5: Solve for x
    x = 579,501.56/579.75
  6. Step 6: Final answer
    x = 999.57

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.