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Finding the Third Proportional to 133,204.50 and 285,302.25

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Solution

The third proportional to 133,204.50 and 285,302.25 is: 611,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,204.50 : 285,302.25 = 285,302.25 : x
  2. Step 2: Convert to fraction form
    133,204.50/285,302.25 = 285,302.25/x
  3. Step 3: Cross multiply
    133,204.50x = 285,302.25 × 285,302.25
  4. Step 4: Simplify right side
    133,204.50x = 81,397,373,855.06
  5. Step 5: Solve for x
    x = 81,397,373,855.06/133,204.50
  6. Step 6: Final answer
    x = 611,070.75

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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.