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Finding the Third Proportional to 178,120 and 238,380

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Solution

The third proportional to 178,120 and 238,380 is: 319,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,120 : 238,380 = 238,380 : x
  2. Step 2: Convert to fraction form
    178,120/238,380 = 238,380/x
  3. Step 3: Cross multiply
    178,120x = 238,380 × 238,380
  4. Step 4: Simplify right side
    178,120x = 56,825,024,400
  5. Step 5: Solve for x
    x = 56,825,024,400/178,120
  6. Step 6: Final answer
    x = 319,026.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.