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Finding the Third Proportional to 985.78 and 2,165.34

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Solution

The third proportional to 985.78 and 2,165.34 is: 4,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.78 : 2,165.34 = 2,165.34 : x
  2. Step 2: Convert to fraction form
    985.78/2,165.34 = 2,165.34/x
  3. Step 3: Cross multiply
    985.78x = 2,165.34 × 2,165.34
  4. Step 4: Simplify right side
    985.78x = 4,688,713.56
  5. Step 5: Solve for x
    x = 4,688,713.56/985.78
  6. Step 6: Final answer
    x = 4,756.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.