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Finding the Third Proportional to 553.88 and 724.31

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Solution

The third proportional to 553.88 and 724.31 is: 947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.88 : 724.31 = 724.31 : x
  2. Step 2: Convert to fraction form
    553.88/724.31 = 724.31/x
  3. Step 3: Cross multiply
    553.88x = 724.31 × 724.31
  4. Step 4: Simplify right side
    553.88x = 524,628.60
  5. Step 5: Solve for x
    x = 524,628.60/553.88
  6. Step 6: Final answer
    x = 947.20

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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.