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Finding the Third Proportional to 172,485 and 375,345

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Solution

The third proportional to 172,485 and 375,345 is: 816,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,485 : 375,345 = 375,345 : x
  2. Step 2: Convert to fraction form
    172,485/375,345 = 375,345/x
  3. Step 3: Cross multiply
    172,485x = 375,345 × 375,345
  4. Step 4: Simplify right side
    172,485x = 140,883,869,025
  5. Step 5: Solve for x
    x = 140,883,869,025/172,485
  6. Step 6: Final answer
    x = 816,789.11

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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.