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Finding the Third Proportional to 575.86 and 919.90

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Solution

The third proportional to 575.86 and 919.90 is: 1,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.86 : 919.90 = 919.90 : x
  2. Step 2: Convert to fraction form
    575.86/919.90 = 919.90/x
  3. Step 3: Cross multiply
    575.86x = 919.90 × 919.90
  4. Step 4: Simplify right side
    575.86x = 846,213.14
  5. Step 5: Solve for x
    x = 846,213.14/575.86
  6. Step 6: Final answer
    x = 1,469.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.