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Finding the Third Proportional to 242,211 and 521,442

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Solution

The third proportional to 242,211 and 521,442 is: 1,122,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,211 : 521,442 = 521,442 : x
  2. Step 2: Convert to fraction form
    242,211/521,442 = 521,442/x
  3. Step 3: Cross multiply
    242,211x = 521,442 × 521,442
  4. Step 4: Simplify right side
    242,211x = 271,901,759,364
  5. Step 5: Solve for x
    x = 271,901,759,364/242,211
  6. Step 6: Final answer
    x = 1,122,582.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.