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Finding the Third Proportional to 216,640 and 334,794

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Solution

The third proportional to 216,640 and 334,794 is: 517,388.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,640 : 334,794 = 334,794 : x
  2. Step 2: Convert to fraction form
    216,640/334,794 = 334,794/x
  3. Step 3: Cross multiply
    216,640x = 334,794 × 334,794
  4. Step 4: Simplify right side
    216,640x = 112,087,022,436
  5. Step 5: Solve for x
    x = 112,087,022,436/216,640
  6. Step 6: Final answer
    x = 517,388.40

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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.