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Finding the Third Proportional to 133,197 and 285,348

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Solution

The third proportional to 133,197 and 285,348 is: 611,301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,197 : 285,348 = 285,348 : x
  2. Step 2: Convert to fraction form
    133,197/285,348 = 285,348/x
  3. Step 3: Cross multiply
    133,197x = 285,348 × 285,348
  4. Step 4: Simplify right side
    133,197x = 81,423,481,104
  5. Step 5: Solve for x
    x = 81,423,481,104/133,197
  6. Step 6: Final answer
    x = 611,301.16

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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.