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Finding the Third Proportional to 74,673 and 156,261

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Solution

The third proportional to 74,673 and 156,261 is: 326,992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,673 : 156,261 = 156,261 : x
  2. Step 2: Convert to fraction form
    74,673/156,261 = 156,261/x
  3. Step 3: Cross multiply
    74,673x = 156,261 × 156,261
  4. Step 4: Simplify right side
    74,673x = 24,417,500,121
  5. Step 5: Solve for x
    x = 24,417,500,121/74,673
  6. Step 6: Final answer
    x = 326,992.35

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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.