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Finding the Third Proportional to 607.78 and 940.92

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Solution

The third proportional to 607.78 and 940.92 is: 1,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.78 : 940.92 = 940.92 : x
  2. Step 2: Convert to fraction form
    607.78/940.92 = 940.92/x
  3. Step 3: Cross multiply
    607.78x = 940.92 × 940.92
  4. Step 4: Simplify right side
    607.78x = 885,333.97
  5. Step 5: Solve for x
    x = 885,333.97/607.78
  6. Step 6: Final answer
    x = 1,456.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.