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Finding the Third Proportional to 258,444 and 379,152

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Solution

The third proportional to 258,444 and 379,152 is: 556,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,444 : 379,152 = 379,152 : x
  2. Step 2: Convert to fraction form
    258,444/379,152 = 379,152/x
  3. Step 3: Cross multiply
    258,444x = 379,152 × 379,152
  4. Step 4: Simplify right side
    258,444x = 143,756,239,104
  5. Step 5: Solve for x
    x = 143,756,239,104/258,444
  6. Step 6: Final answer
    x = 556,237.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.