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Finding the Third Proportional to 133,046 and 285,778

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Solution

The third proportional to 133,046 and 285,778 is: 613,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,046 : 285,778 = 285,778 : x
  2. Step 2: Convert to fraction form
    133,046/285,778 = 285,778/x
  3. Step 3: Cross multiply
    133,046x = 285,778 × 285,778
  4. Step 4: Simplify right side
    133,046x = 81,669,065,284
  5. Step 5: Solve for x
    x = 81,669,065,284/133,046
  6. Step 6: Final answer
    x = 613,840.82

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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.