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Finding the Third Proportional to 172.52 and 366.40

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Solution

The third proportional to 172.52 and 366.40 is: 778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.52 : 366.40 = 366.40 : x
  2. Step 2: Convert to fraction form
    172.52/366.40 = 366.40/x
  3. Step 3: Cross multiply
    172.52x = 366.40 × 366.40
  4. Step 4: Simplify right side
    172.52x = 134,247.82
  5. Step 5: Solve for x
    x = 134,247.82/172.52
  6. Step 6: Final answer
    x = 778.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.