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Finding the Third Proportional to 289,910 and 461,217

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Solution

The third proportional to 289,910 and 461,217 is: 733,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,910 : 461,217 = 461,217 : x
  2. Step 2: Convert to fraction form
    289,910/461,217 = 461,217/x
  3. Step 3: Cross multiply
    289,910x = 461,217 × 461,217
  4. Step 4: Simplify right side
    289,910x = 212,721,121,089
  5. Step 5: Solve for x
    x = 212,721,121,089/289,910
  6. Step 6: Final answer
    x = 733,748.82

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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.