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Finding the Third Proportional to 258,004 and 379,421

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Solution

The third proportional to 258,004 and 379,421 is: 557,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,004 : 379,421 = 379,421 : x
  2. Step 2: Convert to fraction form
    258,004/379,421 = 379,421/x
  3. Step 3: Cross multiply
    258,004x = 379,421 × 379,421
  4. Step 4: Simplify right side
    258,004x = 143,960,295,241
  5. Step 5: Solve for x
    x = 143,960,295,241/258,004
  6. Step 6: Final answer
    x = 557,976.99

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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.