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Finding the Third Proportional to 242,920 and 533,665

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Solution

The third proportional to 242,920 and 533,665 is: 1,172,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,920 : 533,665 = 533,665 : x
  2. Step 2: Convert to fraction form
    242,920/533,665 = 533,665/x
  3. Step 3: Cross multiply
    242,920x = 533,665 × 533,665
  4. Step 4: Simplify right side
    242,920x = 284,798,332,225
  5. Step 5: Solve for x
    x = 284,798,332,225/242,920
  6. Step 6: Final answer
    x = 1,172,395.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.