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Finding the Third Proportional to 73.68 and 156.98

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Solution

The third proportional to 73.68 and 156.98 is: 334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.68 : 156.98 = 156.98 : x
  2. Step 2: Convert to fraction form
    73.68/156.98 = 156.98/x
  3. Step 3: Cross multiply
    73.68x = 156.98 × 156.98
  4. Step 4: Simplify right side
    73.68x = 24,641.79
  5. Step 5: Solve for x
    x = 24,641.79/73.68
  6. Step 6: Final answer
    x = 334.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.