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Finding the Third Proportional to 258,059 and 379,498

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Solution

The third proportional to 258,059 and 379,498 is: 558,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,059 : 379,498 = 379,498 : x
  2. Step 2: Convert to fraction form
    258,059/379,498 = 379,498/x
  3. Step 3: Cross multiply
    258,059x = 379,498 × 379,498
  4. Step 4: Simplify right side
    258,059x = 144,018,732,004
  5. Step 5: Solve for x
    x = 144,018,732,004/258,059
  6. Step 6: Final answer
    x = 558,084.52

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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.