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Finding the Third Proportional to 150,336 and 320,688

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Solution

The third proportional to 150,336 and 320,688 is: 684,072.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,336 : 320,688 = 320,688 : x
  2. Step 2: Convert to fraction form
    150,336/320,688 = 320,688/x
  3. Step 3: Cross multiply
    150,336x = 320,688 × 320,688
  4. Step 4: Simplify right side
    150,336x = 102,840,793,344
  5. Step 5: Solve for x
    x = 102,840,793,344/150,336
  6. Step 6: Final answer
    x = 684,072.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.