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Finding the Third Proportional to 155,888 and 222,932

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Solution

The third proportional to 155,888 and 222,932 is: 318,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,888 : 222,932 = 222,932 : x
  2. Step 2: Convert to fraction form
    155,888/222,932 = 222,932/x
  3. Step 3: Cross multiply
    155,888x = 222,932 × 222,932
  4. Step 4: Simplify right side
    155,888x = 49,698,676,624
  5. Step 5: Solve for x
    x = 49,698,676,624/155,888
  6. Step 6: Final answer
    x = 318,810.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.