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Finding the Third Proportional to 170,320 and 369,619

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Solution

The third proportional to 170,320 and 369,619 is: 802,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,320 : 369,619 = 369,619 : x
  2. Step 2: Convert to fraction form
    170,320/369,619 = 369,619/x
  3. Step 3: Cross multiply
    170,320x = 369,619 × 369,619
  4. Step 4: Simplify right side
    170,320x = 136,618,205,161
  5. Step 5: Solve for x
    x = 136,618,205,161/170,320
  6. Step 6: Final answer
    x = 802,126.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.