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Finding the Third Proportional to 258,064 and 379,477

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Solution

The third proportional to 258,064 and 379,477 is: 558,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,064 : 379,477 = 379,477 : x
  2. Step 2: Convert to fraction form
    258,064/379,477 = 379,477/x
  3. Step 3: Cross multiply
    258,064x = 379,477 × 379,477
  4. Step 4: Simplify right side
    258,064x = 144,002,793,529
  5. Step 5: Solve for x
    x = 144,002,793,529/258,064
  6. Step 6: Final answer
    x = 558,011.94

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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.