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Finding the Third Proportional to 287,914.50 and 459,978.75

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Solution

The third proportional to 287,914.50 and 459,978.75 is: 734,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,914.50 : 459,978.75 = 459,978.75 : x
  2. Step 2: Convert to fraction form
    287,914.50/459,978.75 = 459,978.75/x
  3. Step 3: Cross multiply
    287,914.50x = 459,978.75 × 459,978.75
  4. Step 4: Simplify right side
    287,914.50x = 211,580,450,451.56
  5. Step 5: Solve for x
    x = 211,580,450,451.56/287,914.50
  6. Step 6: Final answer
    x = 734,872.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.