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Finding the Third Proportional to 217,788 and 468,939

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Solution

The third proportional to 217,788 and 468,939 is: 1,009,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,788 : 468,939 = 468,939 : x
  2. Step 2: Convert to fraction form
    217,788/468,939 = 468,939/x
  3. Step 3: Cross multiply
    217,788x = 468,939 × 468,939
  4. Step 4: Simplify right side
    217,788x = 219,903,785,721
  5. Step 5: Solve for x
    x = 219,903,785,721/217,788
  6. Step 6: Final answer
    x = 1,009,714.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.