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Finding the Third Proportional to 136,974 and 294,318

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Solution

The third proportional to 136,974 and 294,318 is: 632,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,974 : 294,318 = 294,318 : x
  2. Step 2: Convert to fraction form
    136,974/294,318 = 294,318/x
  3. Step 3: Cross multiply
    136,974x = 294,318 × 294,318
  4. Step 4: Simplify right side
    136,974x = 86,623,085,124
  5. Step 5: Solve for x
    x = 86,623,085,124/136,974
  6. Step 6: Final answer
    x = 632,405.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.