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Finding the Third Proportional to 142,210.69 and 311,586.75

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Solution

The third proportional to 142,210.69 and 311,586.75 is: 682,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,210.69 : 311,586.75 = 311,586.75 : x
  2. Step 2: Convert to fraction form
    142,210.69/311,586.75 = 311,586.75/x
  3. Step 3: Cross multiply
    142,210.69x = 311,586.75 × 311,586.75
  4. Step 4: Simplify right side
    142,210.69x = 97,086,302,775.56
  5. Step 5: Solve for x
    x = 97,086,302,775.56/142,210.69
  6. Step 6: Final answer
    x = 682,693.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.