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Finding the Third Proportional to 147,811.50 and 317,766.38

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Solution

The third proportional to 147,811.50 and 317,766.38 is: 683,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,811.50 : 317,766.38 = 317,766.38 : x
  2. Step 2: Convert to fraction form
    147,811.50/317,766.38 = 317,766.38/x
  3. Step 3: Cross multiply
    147,811.50x = 317,766.38 × 317,766.38
  4. Step 4: Simplify right side
    147,811.50x = 100,975,469,080.64
  5. Step 5: Solve for x
    x = 100,975,469,080.64/147,811.50
  6. Step 6: Final answer
    x = 683,136.76

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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.