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Finding the Third Proportional to 289,676 and 432,869

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Solution

The third proportional to 289,676 and 432,869 is: 646,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,676 : 432,869 = 432,869 : x
  2. Step 2: Convert to fraction form
    289,676/432,869 = 432,869/x
  3. Step 3: Cross multiply
    289,676x = 432,869 × 432,869
  4. Step 4: Simplify right side
    289,676x = 187,375,571,161
  5. Step 5: Solve for x
    x = 187,375,571,161/289,676
  6. Step 6: Final answer
    x = 646,845.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.