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Finding the Third Proportional to 301,889 and 646,049

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Solution

The third proportional to 301,889 and 646,049 is: 1,382,558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,889 : 646,049 = 646,049 : x
  2. Step 2: Convert to fraction form
    301,889/646,049 = 646,049/x
  3. Step 3: Cross multiply
    301,889x = 646,049 × 646,049
  4. Step 4: Simplify right side
    301,889x = 417,379,310,401
  5. Step 5: Solve for x
    x = 417,379,310,401/301,889
  6. Step 6: Final answer
    x = 1,382,558.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.