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Finding the Third Proportional to 291,231 and 680,195.25

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Solution

The third proportional to 291,231 and 680,195.25 is: 1,588,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,231 : 680,195.25 = 680,195.25 : x
  2. Step 2: Convert to fraction form
    291,231/680,195.25 = 680,195.25/x
  3. Step 3: Cross multiply
    291,231x = 680,195.25 × 680,195.25
  4. Step 4: Simplify right side
    291,231x = 462,665,578,122.56
  5. Step 5: Solve for x
    x = 462,665,578,122.56/291,231
  6. Step 6: Final answer
    x = 1,588,654.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.