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Finding the Third Proportional to 291,684.38 and 449,971.88

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Solution

The third proportional to 291,684.38 and 449,971.88 is: 694,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,684.38 : 449,971.88 = 449,971.88 : x
  2. Step 2: Convert to fraction form
    291,684.38/449,971.88 = 449,971.88/x
  3. Step 3: Cross multiply
    291,684.38x = 449,971.88 × 449,971.88
  4. Step 4: Simplify right side
    291,684.38x = 202,474,688,291.02
  5. Step 5: Solve for x
    x = 202,474,688,291.02/291,684.38
  6. Step 6: Final answer
    x = 694,156.79

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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.