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Finding the Third Proportional to 371,992 and 477,636

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Solution

The third proportional to 371,992 and 477,636 is: 613,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,992 : 477,636 = 477,636 : x
  2. Step 2: Convert to fraction form
    371,992/477,636 = 477,636/x
  3. Step 3: Cross multiply
    371,992x = 477,636 × 477,636
  4. Step 4: Simplify right side
    371,992x = 228,136,148,496
  5. Step 5: Solve for x
    x = 228,136,148,496/371,992
  6. Step 6: Final answer
    x = 613,282.41

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.