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Finding the Third Proportional to 103,729 and 211,262

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Solution

The third proportional to 103,729 and 211,262 is: 430,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,729 : 211,262 = 211,262 : x
  2. Step 2: Convert to fraction form
    103,729/211,262 = 211,262/x
  3. Step 3: Cross multiply
    103,729x = 211,262 × 211,262
  4. Step 4: Simplify right side
    103,729x = 44,631,632,644
  5. Step 5: Solve for x
    x = 44,631,632,644/103,729
  6. Step 6: Final answer
    x = 430,271.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.