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Finding the Third Proportional to 277,327.13 and 396,307.69

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Solution

The third proportional to 277,327.13 and 396,307.69 is: 566,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,327.13 : 396,307.69 = 396,307.69 : x
  2. Step 2: Convert to fraction form
    277,327.13/396,307.69 = 396,307.69/x
  3. Step 3: Cross multiply
    277,327.13x = 396,307.69 × 396,307.69
  4. Step 4: Simplify right side
    277,327.13x = 157,059,783,171.60
  5. Step 5: Solve for x
    x = 157,059,783,171.60/277,327.13
  6. Step 6: Final answer
    x = 566,334.01

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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.