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Finding the Third Proportional to 156,324 and 318,176

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Solution

The third proportional to 156,324 and 318,176 is: 647,603.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,324 : 318,176 = 318,176 : x
  2. Step 2: Convert to fraction form
    156,324/318,176 = 318,176/x
  3. Step 3: Cross multiply
    156,324x = 318,176 × 318,176
  4. Step 4: Simplify right side
    156,324x = 101,235,966,976
  5. Step 5: Solve for x
    x = 101,235,966,976/156,324
  6. Step 6: Final answer
    x = 647,603.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.