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Finding the Third Proportional to 171,438 and 382,620

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Solution

The third proportional to 171,438 and 382,620 is: 853,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,438 : 382,620 = 382,620 : x
  2. Step 2: Convert to fraction form
    171,438/382,620 = 382,620/x
  3. Step 3: Cross multiply
    171,438x = 382,620 × 382,620
  4. Step 4: Simplify right side
    171,438x = 146,398,064,400
  5. Step 5: Solve for x
    x = 146,398,064,400/171,438
  6. Step 6: Final answer
    x = 853,941.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.