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Finding the Third Proportional to 68,144 and 148,288

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Solution

The third proportional to 68,144 and 148,288 is: 322,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,144 : 148,288 = 148,288 : x
  2. Step 2: Convert to fraction form
    68,144/148,288 = 148,288/x
  3. Step 3: Cross multiply
    68,144x = 148,288 × 148,288
  4. Step 4: Simplify right side
    68,144x = 21,989,330,944
  5. Step 5: Solve for x
    x = 21,989,330,944/68,144
  6. Step 6: Final answer
    x = 322,689.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.