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Finding the Third Proportional to 985.78 and 1,278.42

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Solution

The third proportional to 985.78 and 1,278.42 is: 1,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.78 : 1,278.42 = 1,278.42 : x
  2. Step 2: Convert to fraction form
    985.78/1,278.42 = 1,278.42/x
  3. Step 3: Cross multiply
    985.78x = 1,278.42 × 1,278.42
  4. Step 4: Simplify right side
    985.78x = 1,634,362.49
  5. Step 5: Solve for x
    x = 1,634,362.49/985.78
  6. Step 6: Final answer
    x = 1,657.94

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.