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Finding the Third Proportional to 156,958 and 343,057

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Solution

The third proportional to 156,958 and 343,057 is: 749,806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,958 : 343,057 = 343,057 : x
  2. Step 2: Convert to fraction form
    156,958/343,057 = 343,057/x
  3. Step 3: Cross multiply
    156,958x = 343,057 × 343,057
  4. Step 4: Simplify right side
    156,958x = 117,688,105,249
  5. Step 5: Solve for x
    x = 117,688,105,249/156,958
  6. Step 6: Final answer
    x = 749,806.35

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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.