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Finding the Third Proportional to 74,700 and 156,324

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Solution

The third proportional to 74,700 and 156,324 is: 327,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,700 : 156,324 = 156,324 : x
  2. Step 2: Convert to fraction form
    74,700/156,324 = 156,324/x
  3. Step 3: Cross multiply
    74,700x = 156,324 × 156,324
  4. Step 4: Simplify right side
    74,700x = 24,437,192,976
  5. Step 5: Solve for x
    x = 24,437,192,976/74,700
  6. Step 6: Final answer
    x = 327,137.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.