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Finding the Third Proportional to 201,960 and 312,703.88

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Solution

The third proportional to 201,960 and 312,703.88 is: 484,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,960 : 312,703.88 = 312,703.88 : x
  2. Step 2: Convert to fraction form
    201,960/312,703.88 = 312,703.88/x
  3. Step 3: Cross multiply
    201,960x = 312,703.88 × 312,703.88
  4. Step 4: Simplify right side
    201,960x = 97,783,713,440.02
  5. Step 5: Solve for x
    x = 97,783,713,440.02/201,960
  6. Step 6: Final answer
    x = 484,173.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.