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Finding the Third Proportional to 171,216 and 364,608

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Solution

The third proportional to 171,216 and 364,608 is: 776,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,216 : 364,608 = 364,608 : x
  2. Step 2: Convert to fraction form
    171,216/364,608 = 364,608/x
  3. Step 3: Cross multiply
    171,216x = 364,608 × 364,608
  4. Step 4: Simplify right side
    171,216x = 132,938,993,664
  5. Step 5: Solve for x
    x = 132,938,993,664/171,216
  6. Step 6: Final answer
    x = 776,440.25

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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.