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Finding the Third Proportional to 102,258 and 219,087

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Solution

The third proportional to 102,258 and 219,087 is: 469,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,258 : 219,087 = 219,087 : x
  2. Step 2: Convert to fraction form
    102,258/219,087 = 219,087/x
  3. Step 3: Cross multiply
    102,258x = 219,087 × 219,087
  4. Step 4: Simplify right side
    102,258x = 47,999,113,569
  5. Step 5: Solve for x
    x = 47,999,113,569/102,258
  6. Step 6: Final answer
    x = 469,392.26

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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.