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Finding the Third Proportional to 72.98 and 125.93

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Solution

The third proportional to 72.98 and 125.93 is: 217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.98 : 125.93 = 125.93 : x
  2. Step 2: Convert to fraction form
    72.98/125.93 = 125.93/x
  3. Step 3: Cross multiply
    72.98x = 125.93 × 125.93
  4. Step 4: Simplify right side
    72.98x = 15,858.29
  5. Step 5: Solve for x
    x = 15,858.29/72.98
  6. Step 6: Final answer
    x = 217.28

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.