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Finding the Third Proportional to 336,366 and 521,361

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Solution

The third proportional to 336,366 and 521,361 is: 808,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,366 : 521,361 = 521,361 : x
  2. Step 2: Convert to fraction form
    336,366/521,361 = 521,361/x
  3. Step 3: Cross multiply
    336,366x = 521,361 × 521,361
  4. Step 4: Simplify right side
    336,366x = 271,817,292,321
  5. Step 5: Solve for x
    x = 271,817,292,321/336,366
  6. Step 6: Final answer
    x = 808,099.79

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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.