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Finding the Third Proportional to 170,299 and 361,357

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Solution

The third proportional to 170,299 and 361,357 is: 766,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,299 : 361,357 = 361,357 : x
  2. Step 2: Convert to fraction form
    170,299/361,357 = 361,357/x
  3. Step 3: Cross multiply
    170,299x = 361,357 × 361,357
  4. Step 4: Simplify right side
    170,299x = 130,578,881,449
  5. Step 5: Solve for x
    x = 130,578,881,449/170,299
  6. Step 6: Final answer
    x = 766,762.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.