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Finding the Third Proportional to 143,433 and 312,198.50

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Solution

The third proportional to 143,433 and 312,198.50 is: 679,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,433 : 312,198.50 = 312,198.50 : x
  2. Step 2: Convert to fraction form
    143,433/312,198.50 = 312,198.50/x
  3. Step 3: Cross multiply
    143,433x = 312,198.50 × 312,198.50
  4. Step 4: Simplify right side
    143,433x = 97,467,903,402.25
  5. Step 5: Solve for x
    x = 97,467,903,402.25/143,433
  6. Step 6: Final answer
    x = 679,536.11

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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.