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Finding the Third Proportional to 69,682 and 148,356

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Solution

The third proportional to 69,682 and 148,356 is: 315,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,682 : 148,356 = 148,356 : x
  2. Step 2: Convert to fraction form
    69,682/148,356 = 148,356/x
  3. Step 3: Cross multiply
    69,682x = 148,356 × 148,356
  4. Step 4: Simplify right side
    69,682x = 22,009,502,736
  5. Step 5: Solve for x
    x = 22,009,502,736/69,682
  6. Step 6: Final answer
    x = 315,856.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.