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Finding the Third Proportional to 299,256 and 498,708

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Solution

The third proportional to 299,256 and 498,708 is: 831,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,256 : 498,708 = 498,708 : x
  2. Step 2: Convert to fraction form
    299,256/498,708 = 498,708/x
  3. Step 3: Cross multiply
    299,256x = 498,708 × 498,708
  4. Step 4: Simplify right side
    299,256x = 248,709,669,264
  5. Step 5: Solve for x
    x = 248,709,669,264/299,256
  6. Step 6: Final answer
    x = 831,093.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.