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Finding the Third Proportional to 183,172 and 393,920

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Solution

The third proportional to 183,172 and 393,920 is: 847,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,172 : 393,920 = 393,920 : x
  2. Step 2: Convert to fraction form
    183,172/393,920 = 393,920/x
  3. Step 3: Cross multiply
    183,172x = 393,920 × 393,920
  4. Step 4: Simplify right side
    183,172x = 155,172,966,400
  5. Step 5: Solve for x
    x = 155,172,966,400/183,172
  6. Step 6: Final answer
    x = 847,143.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.