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Finding the Third Proportional to 143,508.50 and 312,852

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Solution

The third proportional to 143,508.50 and 312,852 is: 682,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,508.50 : 312,852 = 312,852 : x
  2. Step 2: Convert to fraction form
    143,508.50/312,852 = 312,852/x
  3. Step 3: Cross multiply
    143,508.50x = 312,852 × 312,852
  4. Step 4: Simplify right side
    143,508.50x = 97,876,373,904
  5. Step 5: Solve for x
    x = 97,876,373,904/143,508.50
  6. Step 6: Final answer
    x = 682,024.92

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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.