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Finding the Third Proportional to 191,285 and 280,783

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Solution

The third proportional to 191,285 and 280,783 is: 412,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,285 : 280,783 = 280,783 : x
  2. Step 2: Convert to fraction form
    191,285/280,783 = 280,783/x
  3. Step 3: Cross multiply
    191,285x = 280,783 × 280,783
  4. Step 4: Simplify right side
    191,285x = 78,839,093,089
  5. Step 5: Solve for x
    x = 78,839,093,089/191,285
  6. Step 6: Final answer
    x = 412,155.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.