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Finding the Third Proportional to 156,306 and 242,181

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Solution

The third proportional to 156,306 and 242,181 is: 375,235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,306 : 242,181 = 242,181 : x
  2. Step 2: Convert to fraction form
    156,306/242,181 = 242,181/x
  3. Step 3: Cross multiply
    156,306x = 242,181 × 242,181
  4. Step 4: Simplify right side
    156,306x = 58,651,636,761
  5. Step 5: Solve for x
    x = 58,651,636,761/156,306
  6. Step 6: Final answer
    x = 375,235.99

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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.