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Finding the Third Proportional to 133,000 and 285,488

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Solution

The third proportional to 133,000 and 285,488 is: 612,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,000 : 285,488 = 285,488 : x
  2. Step 2: Convert to fraction form
    133,000/285,488 = 285,488/x
  3. Step 3: Cross multiply
    133,000x = 285,488 × 285,488
  4. Step 4: Simplify right side
    133,000x = 81,503,398,144
  5. Step 5: Solve for x
    x = 81,503,398,144/133,000
  6. Step 6: Final answer
    x = 612,807.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.