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Finding the Third Proportional to 68,388 and 154,337

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Solution

The third proportional to 68,388 and 154,337 is: 348,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,388 : 154,337 = 154,337 : x
  2. Step 2: Convert to fraction form
    68,388/154,337 = 154,337/x
  3. Step 3: Cross multiply
    68,388x = 154,337 × 154,337
  4. Step 4: Simplify right side
    68,388x = 23,819,909,569
  5. Step 5: Solve for x
    x = 23,819,909,569/68,388
  6. Step 6: Final answer
    x = 348,305.40

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.