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Finding the Third Proportional to 103,415 and 227,780

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Solution

The third proportional to 103,415 and 227,780 is: 501,704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,415 : 227,780 = 227,780 : x
  2. Step 2: Convert to fraction form
    103,415/227,780 = 227,780/x
  3. Step 3: Cross multiply
    103,415x = 227,780 × 227,780
  4. Step 4: Simplify right side
    103,415x = 51,883,728,400
  5. Step 5: Solve for x
    x = 51,883,728,400/103,415
  6. Step 6: Final answer
    x = 501,704.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.