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Finding the Third Proportional to 156,947 and 342,324

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Solution

The third proportional to 156,947 and 342,324 is: 746,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,947 : 342,324 = 342,324 : x
  2. Step 2: Convert to fraction form
    156,947/342,324 = 342,324/x
  3. Step 3: Cross multiply
    156,947x = 342,324 × 342,324
  4. Step 4: Simplify right side
    156,947x = 117,185,720,976
  5. Step 5: Solve for x
    x = 117,185,720,976/156,947
  6. Step 6: Final answer
    x = 746,657.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.