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Finding the Third Proportional to 155,178 and 235,647

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Solution

The third proportional to 155,178 and 235,647 is: 357,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,178 : 235,647 = 235,647 : x
  2. Step 2: Convert to fraction form
    155,178/235,647 = 235,647/x
  3. Step 3: Cross multiply
    155,178x = 235,647 × 235,647
  4. Step 4: Simplify right side
    155,178x = 55,529,508,609
  5. Step 5: Solve for x
    x = 55,529,508,609/155,178
  6. Step 6: Final answer
    x = 357,843.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.