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Finding the Third Proportional to 275,307 and 416,771

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Solution

The third proportional to 275,307 and 416,771 is: 630,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,307 : 416,771 = 416,771 : x
  2. Step 2: Convert to fraction form
    275,307/416,771 = 416,771/x
  3. Step 3: Cross multiply
    275,307x = 416,771 × 416,771
  4. Step 4: Simplify right side
    275,307x = 173,698,066,441
  5. Step 5: Solve for x
    x = 173,698,066,441/275,307
  6. Step 6: Final answer
    x = 630,924.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.