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Finding the Third Proportional to 277,190 and 446,409

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Solution

The third proportional to 277,190 and 446,409 is: 718,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,190 : 446,409 = 446,409 : x
  2. Step 2: Convert to fraction form
    277,190/446,409 = 446,409/x
  3. Step 3: Cross multiply
    277,190x = 446,409 × 446,409
  4. Step 4: Simplify right side
    277,190x = 199,280,995,281
  5. Step 5: Solve for x
    x = 199,280,995,281/277,190
  6. Step 6: Final answer
    x = 718,932.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.