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Finding the Third Proportional to 143,135.50 and 305,953.50

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Solution

The third proportional to 143,135.50 and 305,953.50 is: 653,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,135.50 : 305,953.50 = 305,953.50 : x
  2. Step 2: Convert to fraction form
    143,135.50/305,953.50 = 305,953.50/x
  3. Step 3: Cross multiply
    143,135.50x = 305,953.50 × 305,953.50
  4. Step 4: Simplify right side
    143,135.50x = 93,607,544,162.25
  5. Step 5: Solve for x
    x = 93,607,544,162.25/143,135.50
  6. Step 6: Final answer
    x = 653,978.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.