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Finding the Third Proportional to 143,230.50 and 312,705

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Solution

The third proportional to 143,230.50 and 312,705 is: 682,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,230.50 : 312,705 = 312,705 : x
  2. Step 2: Convert to fraction form
    143,230.50/312,705 = 312,705/x
  3. Step 3: Cross multiply
    143,230.50x = 312,705 × 312,705
  4. Step 4: Simplify right side
    143,230.50x = 97,784,417,025
  5. Step 5: Solve for x
    x = 97,784,417,025/143,230.50
  6. Step 6: Final answer
    x = 682,706.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.