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Finding the Third Proportional to 177,320 and 379,216

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Solution

The third proportional to 177,320 and 379,216 is: 810,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,320 : 379,216 = 379,216 : x
  2. Step 2: Convert to fraction form
    177,320/379,216 = 379,216/x
  3. Step 3: Cross multiply
    177,320x = 379,216 × 379,216
  4. Step 4: Simplify right side
    177,320x = 143,804,774,656
  5. Step 5: Solve for x
    x = 143,804,774,656/177,320
  6. Step 6: Final answer
    x = 810,990.16

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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.