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Finding the Third Proportional to 574 and 848.75

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Solution

The third proportional to 574 and 848.75 is: 1,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    574 : 848.75 = 848.75 : x
  2. Step 2: Convert to fraction form
    574/848.75 = 848.75/x
  3. Step 3: Cross multiply
    574x = 848.75 × 848.75
  4. Step 4: Simplify right side
    574x = 720,376.56
  5. Step 5: Solve for x
    x = 720,376.56/574
  6. Step 6: Final answer
    x = 1,255.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.