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Finding the Third Proportional to 552.76 and 848.44

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Solution

The third proportional to 552.76 and 848.44 is: 1,302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.76 : 848.44 = 848.44 : x
  2. Step 2: Convert to fraction form
    552.76/848.44 = 848.44/x
  3. Step 3: Cross multiply
    552.76x = 848.44 × 848.44
  4. Step 4: Simplify right side
    552.76x = 719,856.13
  5. Step 5: Solve for x
    x = 719,856.13/552.76
  6. Step 6: Final answer
    x = 1,302.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.