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Finding the Third Proportional to 291,686.25 and 449,974.50

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Solution

The third proportional to 291,686.25 and 449,974.50 is: 694,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,686.25 : 449,974.50 = 449,974.50 : x
  2. Step 2: Convert to fraction form
    291,686.25/449,974.50 = 449,974.50/x
  3. Step 3: Cross multiply
    291,686.25x = 449,974.50 × 449,974.50
  4. Step 4: Simplify right side
    291,686.25x = 202,477,050,650.25
  5. Step 5: Solve for x
    x = 202,477,050,650.25/291,686.25
  6. Step 6: Final answer
    x = 694,160.42

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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.