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Finding the Third Proportional to 133,228 and 286,219

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Solution

The third proportional to 133,228 and 286,219 is: 614,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,228 : 286,219 = 286,219 : x
  2. Step 2: Convert to fraction form
    133,228/286,219 = 286,219/x
  3. Step 3: Cross multiply
    133,228x = 286,219 × 286,219
  4. Step 4: Simplify right side
    133,228x = 81,921,315,961
  5. Step 5: Solve for x
    x = 81,921,315,961/133,228
  6. Step 6: Final answer
    x = 614,895.64

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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.