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Finding the Third Proportional to 133,173 and 286,111

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Solution

The third proportional to 133,173 and 286,111 is: 614,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,173 : 286,111 = 286,111 : x
  2. Step 2: Convert to fraction form
    133,173/286,111 = 286,111/x
  3. Step 3: Cross multiply
    133,173x = 286,111 × 286,111
  4. Step 4: Simplify right side
    133,173x = 81,859,504,321
  5. Step 5: Solve for x
    x = 81,859,504,321/133,173
  6. Step 6: Final answer
    x = 614,685.44

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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.