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Finding the Third Proportional to 309,384 and 492,296

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Solution

The third proportional to 309,384 and 492,296 is: 783,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,384 : 492,296 = 492,296 : x
  2. Step 2: Convert to fraction form
    309,384/492,296 = 492,296/x
  3. Step 3: Cross multiply
    309,384x = 492,296 × 492,296
  4. Step 4: Simplify right side
    309,384x = 242,355,351,616
  5. Step 5: Solve for x
    x = 242,355,351,616/309,384
  6. Step 6: Final answer
    x = 783,348.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.