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Finding the Third Proportional to 74,380 and 157,400

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Solution

The third proportional to 74,380 and 157,400 is: 333,083.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,380 : 157,400 = 157,400 : x
  2. Step 2: Convert to fraction form
    74,380/157,400 = 157,400/x
  3. Step 3: Cross multiply
    74,380x = 157,400 × 157,400
  4. Step 4: Simplify right side
    74,380x = 24,774,760,000
  5. Step 5: Solve for x
    x = 24,774,760,000/74,380
  6. Step 6: Final answer
    x = 333,083.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.