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Finding the Third Proportional to 178,630 and 284,345

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Solution

The third proportional to 178,630 and 284,345 is: 452,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,630 : 284,345 = 284,345 : x
  2. Step 2: Convert to fraction form
    178,630/284,345 = 284,345/x
  3. Step 3: Cross multiply
    178,630x = 284,345 × 284,345
  4. Step 4: Simplify right side
    178,630x = 80,852,079,025
  5. Step 5: Solve for x
    x = 80,852,079,025/178,630
  6. Step 6: Final answer
    x = 452,623.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.