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Finding the Third Proportional to 170,424 and 371,607.75

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Solution

The third proportional to 170,424 and 371,607.75 is: 810,286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,424 : 371,607.75 = 371,607.75 : x
  2. Step 2: Convert to fraction form
    170,424/371,607.75 = 371,607.75/x
  3. Step 3: Cross multiply
    170,424x = 371,607.75 × 371,607.75
  4. Step 4: Simplify right side
    170,424x = 138,092,319,860.06
  5. Step 5: Solve for x
    x = 138,092,319,860.06/170,424
  6. Step 6: Final answer
    x = 810,286.81

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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.