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Finding the Third Proportional to 156,492 and 337,878

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Solution

The third proportional to 156,492 and 337,878 is: 729,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,492 : 337,878 = 337,878 : x
  2. Step 2: Convert to fraction form
    156,492/337,878 = 337,878/x
  3. Step 3: Cross multiply
    156,492x = 337,878 × 337,878
  4. Step 4: Simplify right side
    156,492x = 114,161,542,884
  5. Step 5: Solve for x
    x = 114,161,542,884/156,492
  6. Step 6: Final answer
    x = 729,504.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.