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Finding the Third Proportional to 156.68 and 242.53

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Solution

The third proportional to 156.68 and 242.53 is: 375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.68 : 242.53 = 242.53 : x
  2. Step 2: Convert to fraction form
    156.68/242.53 = 242.53/x
  3. Step 3: Cross multiply
    156.68x = 242.53 × 242.53
  4. Step 4: Simplify right side
    156.68x = 58,818.57
  5. Step 5: Solve for x
    x = 58,818.57/156.68
  6. Step 6: Final answer
    x = 375.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.