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Finding the Third Proportional to 143,337.09 and 311,895.56

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Solution

The third proportional to 143,337.09 and 311,895.56 is: 678,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,337.09 : 311,895.56 = 311,895.56 : x
  2. Step 2: Convert to fraction form
    143,337.09/311,895.56 = 311,895.56/x
  3. Step 3: Cross multiply
    143,337.09x = 311,895.56 × 311,895.56
  4. Step 4: Simplify right side
    143,337.09x = 97,278,841,907.19
  5. Step 5: Solve for x
    x = 97,278,841,907.19/143,337.09
  6. Step 6: Final answer
    x = 678,671.79

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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.