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Finding the Third Proportional to 133,218 and 285,330

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Solution

The third proportional to 133,218 and 285,330 is: 611,127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,218 : 285,330 = 285,330 : x
  2. Step 2: Convert to fraction form
    133,218/285,330 = 285,330/x
  3. Step 3: Cross multiply
    133,218x = 285,330 × 285,330
  4. Step 4: Simplify right side
    133,218x = 81,413,208,900
  5. Step 5: Solve for x
    x = 81,413,208,900/133,218
  6. Step 6: Final answer
    x = 611,127.69

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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.