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Finding the Third Proportional to 289,918 and 461,229

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Solution

The third proportional to 289,918 and 461,229 is: 733,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,918 : 461,229 = 461,229 : x
  2. Step 2: Convert to fraction form
    289,918/461,229 = 461,229/x
  3. Step 3: Cross multiply
    289,918x = 461,229 × 461,229
  4. Step 4: Simplify right side
    289,918x = 212,732,190,441
  5. Step 5: Solve for x
    x = 212,732,190,441/289,918
  6. Step 6: Final answer
    x = 733,766.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.