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Finding the Third Proportional to 192,509 and 297,512

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Solution

The third proportional to 192,509 and 297,512 is: 459,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,509 : 297,512 = 297,512 : x
  2. Step 2: Convert to fraction form
    192,509/297,512 = 297,512/x
  3. Step 3: Cross multiply
    192,509x = 297,512 × 297,512
  4. Step 4: Simplify right side
    192,509x = 88,513,390,144
  5. Step 5: Solve for x
    x = 88,513,390,144/192,509
  6. Step 6: Final answer
    x = 459,788.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.