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Finding the Third Proportional to 258,145 and 379,619

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Solution

The third proportional to 258,145 and 379,619 is: 558,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,145 : 379,619 = 379,619 : x
  2. Step 2: Convert to fraction form
    258,145/379,619 = 379,619/x
  3. Step 3: Cross multiply
    258,145x = 379,619 × 379,619
  4. Step 4: Simplify right side
    258,145x = 144,110,585,161
  5. Step 5: Solve for x
    x = 144,110,585,161/258,145
  6. Step 6: Final answer
    x = 558,254.41

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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.