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Finding the Third Proportional to 133,216 and 285,392

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Solution

The third proportional to 133,216 and 285,392 is: 611,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,216 : 285,392 = 285,392 : x
  2. Step 2: Convert to fraction form
    133,216/285,392 = 285,392/x
  3. Step 3: Cross multiply
    133,216x = 285,392 × 285,392
  4. Step 4: Simplify right side
    133,216x = 81,448,593,664
  5. Step 5: Solve for x
    x = 81,448,593,664/133,216
  6. Step 6: Final answer
    x = 611,402.49

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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.