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Finding the Third Proportional to 678.66 and 945.42

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Solution

The third proportional to 678.66 and 945.42 is: 1,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.66 : 945.42 = 945.42 : x
  2. Step 2: Convert to fraction form
    678.66/945.42 = 945.42/x
  3. Step 3: Cross multiply
    678.66x = 945.42 × 945.42
  4. Step 4: Simplify right side
    678.66x = 893,822.52
  5. Step 5: Solve for x
    x = 893,822.52/678.66
  6. Step 6: Final answer
    x = 1,317.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.