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Finding the Third Proportional to 277,813 and 414,889

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Solution

The third proportional to 277,813 and 414,889 is: 619,599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,813 : 414,889 = 414,889 : x
  2. Step 2: Convert to fraction form
    277,813/414,889 = 414,889/x
  3. Step 3: Cross multiply
    277,813x = 414,889 × 414,889
  4. Step 4: Simplify right side
    277,813x = 172,132,882,321
  5. Step 5: Solve for x
    x = 172,132,882,321/277,813
  6. Step 6: Final answer
    x = 619,599.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.