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Finding the Third Proportional to 164,325 and 336,438

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Solution

The third proportional to 164,325 and 336,438 is: 688,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,325 : 336,438 = 336,438 : x
  2. Step 2: Convert to fraction form
    164,325/336,438 = 336,438/x
  3. Step 3: Cross multiply
    164,325x = 336,438 × 336,438
  4. Step 4: Simplify right side
    164,325x = 113,190,527,844
  5. Step 5: Solve for x
    x = 113,190,527,844/164,325
  6. Step 6: Final answer
    x = 688,821.10

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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.