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Finding the Third Proportional to 203,376 and 475,095

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Solution

The third proportional to 203,376 and 475,095 is: 1,109,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,376 : 475,095 = 475,095 : x
  2. Step 2: Convert to fraction form
    203,376/475,095 = 475,095/x
  3. Step 3: Cross multiply
    203,376x = 475,095 × 475,095
  4. Step 4: Simplify right side
    203,376x = 225,715,259,025
  5. Step 5: Solve for x
    x = 225,715,259,025/203,376
  6. Step 6: Final answer
    x = 1,109,842.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.