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Finding the Third Proportional to 70,366 and 154,406

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Solution

The third proportional to 70,366 and 154,406 is: 338,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,366 : 154,406 = 154,406 : x
  2. Step 2: Convert to fraction form
    70,366/154,406 = 154,406/x
  3. Step 3: Cross multiply
    70,366x = 154,406 × 154,406
  4. Step 4: Simplify right side
    70,366x = 23,841,212,836
  5. Step 5: Solve for x
    x = 23,841,212,836/70,366
  6. Step 6: Final answer
    x = 338,817.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.