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Finding the Third Proportional to 156,280 and 242,142

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Solution

The third proportional to 156,280 and 242,142 is: 375,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,280 : 242,142 = 242,142 : x
  2. Step 2: Convert to fraction form
    156,280/242,142 = 242,142/x
  3. Step 3: Cross multiply
    156,280x = 242,142 × 242,142
  4. Step 4: Simplify right side
    156,280x = 58,632,748,164
  5. Step 5: Solve for x
    x = 58,632,748,164/156,280
  6. Step 6: Final answer
    x = 375,177.55

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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.