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Finding the Third Proportional to 102,975 and 221,749.50

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Solution

The third proportional to 102,975 and 221,749.50 is: 477,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,975 : 221,749.50 = 221,749.50 : x
  2. Step 2: Convert to fraction form
    102,975/221,749.50 = 221,749.50/x
  3. Step 3: Cross multiply
    102,975x = 221,749.50 × 221,749.50
  4. Step 4: Simplify right side
    102,975x = 49,172,840,750.25
  5. Step 5: Solve for x
    x = 49,172,840,750.25/102,975
  6. Step 6: Final answer
    x = 477,522.12

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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.