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Finding the Third Proportional to 70,326 and 150,678

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Solution

The third proportional to 70,326 and 150,678 is: 322,837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,326 : 150,678 = 150,678 : x
  2. Step 2: Convert to fraction form
    70,326/150,678 = 150,678/x
  3. Step 3: Cross multiply
    70,326x = 150,678 × 150,678
  4. Step 4: Simplify right side
    70,326x = 22,703,859,684
  5. Step 5: Solve for x
    x = 22,703,859,684/70,326
  6. Step 6: Final answer
    x = 322,837.35

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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.