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Finding the Third Proportional to 103,692 and 221,803

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Solution

The third proportional to 103,692 and 221,803 is: 474,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,692 : 221,803 = 221,803 : x
  2. Step 2: Convert to fraction form
    103,692/221,803 = 221,803/x
  3. Step 3: Cross multiply
    103,692x = 221,803 × 221,803
  4. Step 4: Simplify right side
    103,692x = 49,196,570,809
  5. Step 5: Solve for x
    x = 49,196,570,809/103,692
  6. Step 6: Final answer
    x = 474,449.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.