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Finding the Third Proportional to 296,161.88 and 639,606.38

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Solution

The third proportional to 296,161.88 and 639,606.38 is: 1,381,326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,161.88 : 639,606.38 = 639,606.38 : x
  2. Step 2: Convert to fraction form
    296,161.88/639,606.38 = 639,606.38/x
  3. Step 3: Cross multiply
    296,161.88x = 639,606.38 × 639,606.38
  4. Step 4: Simplify right side
    296,161.88x = 409,096,314,940.64
  5. Step 5: Solve for x
    x = 409,096,314,940.64/296,161.88
  6. Step 6: Final answer
    x = 1,381,326.73

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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.