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Finding the Third Proportional to 1,989.56 and 3,572.86

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Solution

The third proportional to 1,989.56 and 3,572.86 is: 6,416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.56 : 3,572.86 = 3,572.86 : x
  2. Step 2: Convert to fraction form
    1,989.56/3,572.86 = 3,572.86/x
  3. Step 3: Cross multiply
    1,989.56x = 3,572.86 × 3,572.86
  4. Step 4: Simplify right side
    1,989.56x = 12,765,324.11
  5. Step 5: Solve for x
    x = 12,765,324.11/1,989.56
  6. Step 6: Final answer
    x = 6,416.15

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.