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Finding the Third Proportional to 291,690.50 and 449,980.50

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Solution

The third proportional to 291,690.50 and 449,980.50 is: 694,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,690.50 : 449,980.50 = 449,980.50 : x
  2. Step 2: Convert to fraction form
    291,690.50/449,980.50 = 449,980.50/x
  3. Step 3: Cross multiply
    291,690.50x = 449,980.50 × 449,980.50
  4. Step 4: Simplify right side
    291,690.50x = 202,482,450,380.25
  5. Step 5: Solve for x
    x = 202,482,450,380.25/291,690.50
  6. Step 6: Final answer
    x = 694,168.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.