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Finding the Third Proportional to 1,989.80 and 4,325.12

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Solution

The third proportional to 1,989.80 and 4,325.12 is: 9,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.80 : 4,325.12 = 4,325.12 : x
  2. Step 2: Convert to fraction form
    1,989.80/4,325.12 = 4,325.12/x
  3. Step 3: Cross multiply
    1,989.80x = 4,325.12 × 4,325.12
  4. Step 4: Simplify right side
    1,989.80x = 18,706,621.79
  5. Step 5: Solve for x
    x = 18,706,621.79/1,989.80
  6. Step 6: Final answer
    x = 9,401.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.