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Finding the Third Proportional to 133,233 and 285,459

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Solution

The third proportional to 133,233 and 285,459 is: 611,611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,233 : 285,459 = 285,459 : x
  2. Step 2: Convert to fraction form
    133,233/285,459 = 285,459/x
  3. Step 3: Cross multiply
    133,233x = 285,459 × 285,459
  4. Step 4: Simplify right side
    133,233x = 81,486,840,681
  5. Step 5: Solve for x
    x = 81,486,840,681/133,233
  6. Step 6: Final answer
    x = 611,611.54

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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.