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Finding the Third Proportional to 156,989 and 343,640

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Solution

The third proportional to 156,989 and 343,640 is: 752,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,989 : 343,640 = 343,640 : x
  2. Step 2: Convert to fraction form
    156,989/343,640 = 343,640/x
  3. Step 3: Cross multiply
    156,989x = 343,640 × 343,640
  4. Step 4: Simplify right side
    156,989x = 118,088,449,600
  5. Step 5: Solve for x
    x = 118,088,449,600/156,989
  6. Step 6: Final answer
    x = 752,208.43

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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.