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Finding the Third Proportional to 156,981 and 343,303

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Solution

The third proportional to 156,981 and 343,303 is: 750,772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,981 : 343,303 = 343,303 : x
  2. Step 2: Convert to fraction form
    156,981/343,303 = 343,303/x
  3. Step 3: Cross multiply
    156,981x = 343,303 × 343,303
  4. Step 4: Simplify right side
    156,981x = 117,856,949,809
  5. Step 5: Solve for x
    x = 117,856,949,809/156,981
  6. Step 6: Final answer
    x = 750,772.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.