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Finding the Third Proportional to 156,947 and 343,035

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Solution

The third proportional to 156,947 and 343,035 is: 749,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,947 : 343,035 = 343,035 : x
  2. Step 2: Convert to fraction form
    156,947/343,035 = 343,035/x
  3. Step 3: Cross multiply
    156,947x = 343,035 × 343,035
  4. Step 4: Simplify right side
    156,947x = 117,673,011,225
  5. Step 5: Solve for x
    x = 117,673,011,225/156,947
  6. Step 6: Final answer
    x = 749,762.73

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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.