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Finding the Third Proportional to 289,445 and 617,122

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Solution

The third proportional to 289,445 and 617,122 is: 1,315,757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,445 : 617,122 = 617,122 : x
  2. Step 2: Convert to fraction form
    289,445/617,122 = 617,122/x
  3. Step 3: Cross multiply
    289,445x = 617,122 × 617,122
  4. Step 4: Simplify right side
    289,445x = 380,839,562,884
  5. Step 5: Solve for x
    x = 380,839,562,884/289,445
  6. Step 6: Final answer
    x = 1,315,757.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.