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Finding the Third Proportional to 308,256 and 460,305

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Solution

The third proportional to 308,256 and 460,305 is: 687,353.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,256 : 460,305 = 460,305 : x
  2. Step 2: Convert to fraction form
    308,256/460,305 = 460,305/x
  3. Step 3: Cross multiply
    308,256x = 460,305 × 460,305
  4. Step 4: Simplify right side
    308,256x = 211,880,693,025
  5. Step 5: Solve for x
    x = 211,880,693,025/308,256
  6. Step 6: Final answer
    x = 687,353.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.