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Finding the Third Proportional to 100,258 and 219,833

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Solution

The third proportional to 100,258 and 219,833 is: 482,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,258 : 219,833 = 219,833 : x
  2. Step 2: Convert to fraction form
    100,258/219,833 = 219,833/x
  3. Step 3: Cross multiply
    100,258x = 219,833 × 219,833
  4. Step 4: Simplify right side
    100,258x = 48,326,547,889
  5. Step 5: Solve for x
    x = 48,326,547,889/100,258
  6. Step 6: Final answer
    x = 482,021.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.