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Finding the Third Proportional to 459,109.50 and 991,989.75

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Solution

The third proportional to 459,109.50 and 991,989.75 is: 2,143,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,109.50 : 991,989.75 = 991,989.75 : x
  2. Step 2: Convert to fraction form
    459,109.50/991,989.75 = 991,989.75/x
  3. Step 3: Cross multiply
    459,109.50x = 991,989.75 × 991,989.75
  4. Step 4: Simplify right side
    459,109.50x = 984,043,664,105.06
  5. Step 5: Solve for x
    x = 984,043,664,105.06/459,109.50
  6. Step 6: Final answer
    x = 2,143,374.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.