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Finding the Third Proportional to 103,000 and 221,408

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Solution

The third proportional to 103,000 and 221,408 is: 475,936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,000 : 221,408 = 221,408 : x
  2. Step 2: Convert to fraction form
    103,000/221,408 = 221,408/x
  3. Step 3: Cross multiply
    103,000x = 221,408 × 221,408
  4. Step 4: Simplify right side
    103,000x = 49,021,502,464
  5. Step 5: Solve for x
    x = 49,021,502,464/103,000
  6. Step 6: Final answer
    x = 475,936.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.