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Finding the Third Proportional to 277,272 and 396,513

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Solution

The third proportional to 277,272 and 396,513 is: 567,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,272 : 396,513 = 396,513 : x
  2. Step 2: Convert to fraction form
    277,272/396,513 = 396,513/x
  3. Step 3: Cross multiply
    277,272x = 396,513 × 396,513
  4. Step 4: Simplify right side
    277,272x = 157,222,559,169
  5. Step 5: Solve for x
    x = 157,222,559,169/277,272
  6. Step 6: Final answer
    x = 567,033.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.