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Finding the Third Proportional to 384,109 and 553,285

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Solution

The third proportional to 384,109 and 553,285 is: 796,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,109 : 553,285 = 553,285 : x
  2. Step 2: Convert to fraction form
    384,109/553,285 = 553,285/x
  3. Step 3: Cross multiply
    384,109x = 553,285 × 553,285
  4. Step 4: Simplify right side
    384,109x = 306,124,291,225
  5. Step 5: Solve for x
    x = 306,124,291,225/384,109
  6. Step 6: Final answer
    x = 796,972.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.