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Finding the Third Proportional to 133,210 and 285,314

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Solution

The third proportional to 133,210 and 285,314 is: 611,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,210 : 285,314 = 285,314 : x
  2. Step 2: Convert to fraction form
    133,210/285,314 = 285,314/x
  3. Step 3: Cross multiply
    133,210x = 285,314 × 285,314
  4. Step 4: Simplify right side
    133,210x = 81,404,078,596
  5. Step 5: Solve for x
    x = 81,404,078,596/133,210
  6. Step 6: Final answer
    x = 611,095.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.