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Finding the Third Proportional to 258,189 and 371,865

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Solution

The third proportional to 258,189 and 371,865 is: 535,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,189 : 371,865 = 371,865 : x
  2. Step 2: Convert to fraction form
    258,189/371,865 = 371,865/x
  3. Step 3: Cross multiply
    258,189x = 371,865 × 371,865
  4. Step 4: Simplify right side
    258,189x = 138,283,578,225
  5. Step 5: Solve for x
    x = 138,283,578,225/258,189
  6. Step 6: Final answer
    x = 535,590.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.