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Finding the Third Proportional to 986.75 and 1,402.63

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Solution

The third proportional to 986.75 and 1,402.63 is: 1,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.75 : 1,402.63 = 1,402.63 : x
  2. Step 2: Convert to fraction form
    986.75/1,402.63 = 1,402.63/x
  3. Step 3: Cross multiply
    986.75x = 1,402.63 × 1,402.63
  4. Step 4: Simplify right side
    986.75x = 1,967,356.89
  5. Step 5: Solve for x
    x = 1,967,356.89/986.75
  6. Step 6: Final answer
    x = 1,993.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.