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Finding the Third Proportional to 172,680 and 377,304

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Solution

The third proportional to 172,680 and 377,304 is: 824,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,680 : 377,304 = 377,304 : x
  2. Step 2: Convert to fraction form
    172,680/377,304 = 377,304/x
  3. Step 3: Cross multiply
    172,680x = 377,304 × 377,304
  4. Step 4: Simplify right side
    172,680x = 142,358,308,416
  5. Step 5: Solve for x
    x = 142,358,308,416/172,680
  6. Step 6: Final answer
    x = 824,405.31

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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.