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Finding the Third Proportional to 258,557 and 379,314

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Solution

The third proportional to 258,557 and 379,314 is: 556,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,557 : 379,314 = 379,314 : x
  2. Step 2: Convert to fraction form
    258,557/379,314 = 379,314/x
  3. Step 3: Cross multiply
    258,557x = 379,314 × 379,314
  4. Step 4: Simplify right side
    258,557x = 143,879,110,596
  5. Step 5: Solve for x
    x = 143,879,110,596/258,557
  6. Step 6: Final answer
    x = 556,469.60

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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.