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Finding the Third Proportional to 202,349 and 421,294

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Solution

The third proportional to 202,349 and 421,294 is: 877,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,349 : 421,294 = 421,294 : x
  2. Step 2: Convert to fraction form
    202,349/421,294 = 421,294/x
  3. Step 3: Cross multiply
    202,349x = 421,294 × 421,294
  4. Step 4: Simplify right side
    202,349x = 177,488,634,436
  5. Step 5: Solve for x
    x = 177,488,634,436/202,349
  6. Step 6: Final answer
    x = 877,141.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.