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Finding the Third Proportional to 156,222 and 242,271

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Solution

The third proportional to 156,222 and 242,271 is: 375,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,222 : 242,271 = 242,271 : x
  2. Step 2: Convert to fraction form
    156,222/242,271 = 242,271/x
  3. Step 3: Cross multiply
    156,222x = 242,271 × 242,271
  4. Step 4: Simplify right side
    156,222x = 58,695,237,441
  5. Step 5: Solve for x
    x = 58,695,237,441/156,222
  6. Step 6: Final answer
    x = 375,716.85

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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.