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Finding the Third Proportional to 355,084 and 764,292

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Solution

The third proportional to 355,084 and 764,292 is: 1,645,081.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,084 : 764,292 = 764,292 : x
  2. Step 2: Convert to fraction form
    355,084/764,292 = 764,292/x
  3. Step 3: Cross multiply
    355,084x = 764,292 × 764,292
  4. Step 4: Simplify right side
    355,084x = 584,142,261,264
  5. Step 5: Solve for x
    x = 584,142,261,264/355,084
  6. Step 6: Final answer
    x = 1,645,081.90

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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.