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Finding the Third Proportional to 985.36 and 1,485.28

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Solution

The third proportional to 985.36 and 1,485.28 is: 2,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.36 : 1,485.28 = 1,485.28 : x
  2. Step 2: Convert to fraction form
    985.36/1,485.28 = 1,485.28/x
  3. Step 3: Cross multiply
    985.36x = 1,485.28 × 1,485.28
  4. Step 4: Simplify right side
    985.36x = 2,206,060.39
  5. Step 5: Solve for x
    x = 2,206,060.39/985.36
  6. Step 6: Final answer
    x = 2,238.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.