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Finding the Third Proportional to 170,120 and 370,857

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Solution

The third proportional to 170,120 and 370,857 is: 808,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,120 : 370,857 = 370,857 : x
  2. Step 2: Convert to fraction form
    170,120/370,857 = 370,857/x
  3. Step 3: Cross multiply
    170,120x = 370,857 × 370,857
  4. Step 4: Simplify right side
    170,120x = 137,534,914,449
  5. Step 5: Solve for x
    x = 137,534,914,449/170,120
  6. Step 6: Final answer
    x = 808,458.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.