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Finding the Third Proportional to 164,319 and 336,422

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Solution

The third proportional to 164,319 and 336,422 is: 688,780.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,319 : 336,422 = 336,422 : x
  2. Step 2: Convert to fraction form
    164,319/336,422 = 336,422/x
  3. Step 3: Cross multiply
    164,319x = 336,422 × 336,422
  4. Step 4: Simplify right side
    164,319x = 113,179,762,084
  5. Step 5: Solve for x
    x = 113,179,762,084/164,319
  6. Step 6: Final answer
    x = 688,780.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.