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Finding the Third Proportional to 102,971.25 and 221,742.56

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Solution

The third proportional to 102,971.25 and 221,742.56 is: 477,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,971.25 : 221,742.56 = 221,742.56 : x
  2. Step 2: Convert to fraction form
    102,971.25/221,742.56 = 221,742.56/x
  3. Step 3: Cross multiply
    102,971.25x = 221,742.56 × 221,742.56
  4. Step 4: Simplify right side
    102,971.25x = 49,169,764,024.07
  5. Step 5: Solve for x
    x = 49,169,764,024.07/102,971.25
  6. Step 6: Final answer
    x = 477,509.64

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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.