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Finding the Third Proportional to 178,690 and 238,388

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Solution

The third proportional to 178,690 and 238,388 is: 318,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,690 : 238,388 = 238,388 : x
  2. Step 2: Convert to fraction form
    178,690/238,388 = 238,388/x
  3. Step 3: Cross multiply
    178,690x = 238,388 × 238,388
  4. Step 4: Simplify right side
    178,690x = 56,828,838,544
  5. Step 5: Solve for x
    x = 56,828,838,544/178,690
  6. Step 6: Final answer
    x = 318,030.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.