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Finding the Third Proportional to 68,253 and 146,388

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Solution

The third proportional to 68,253 and 146,388 is: 313,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,253 : 146,388 = 146,388 : x
  2. Step 2: Convert to fraction form
    68,253/146,388 = 146,388/x
  3. Step 3: Cross multiply
    68,253x = 146,388 × 146,388
  4. Step 4: Simplify right side
    68,253x = 21,429,446,544
  5. Step 5: Solve for x
    x = 21,429,446,544/68,253
  6. Step 6: Final answer
    x = 313,970.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.