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Finding the Third Proportional to 217,698 and 336,258

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Solution

The third proportional to 217,698 and 336,258 is: 519,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,698 : 336,258 = 336,258 : x
  2. Step 2: Convert to fraction form
    217,698/336,258 = 336,258/x
  3. Step 3: Cross multiply
    217,698x = 336,258 × 336,258
  4. Step 4: Simplify right side
    217,698x = 113,069,442,564
  5. Step 5: Solve for x
    x = 113,069,442,564/217,698
  6. Step 6: Final answer
    x = 519,386.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.