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Finding the Third Proportional to 217,597 and 336,278

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Solution

The third proportional to 217,597 and 336,278 is: 519,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,597 : 336,278 = 336,278 : x
  2. Step 2: Convert to fraction form
    217,597/336,278 = 336,278/x
  3. Step 3: Cross multiply
    217,597x = 336,278 × 336,278
  4. Step 4: Simplify right side
    217,597x = 113,082,893,284
  5. Step 5: Solve for x
    x = 113,082,893,284/217,597
  6. Step 6: Final answer
    x = 519,689.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.