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Finding the Third Proportional to 141,579 and 311,133

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Solution

The third proportional to 141,579 and 311,133 is: 683,743.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,579 : 311,133 = 311,133 : x
  2. Step 2: Convert to fraction form
    141,579/311,133 = 311,133/x
  3. Step 3: Cross multiply
    141,579x = 311,133 × 311,133
  4. Step 4: Simplify right side
    141,579x = 96,803,743,689
  5. Step 5: Solve for x
    x = 96,803,743,689/141,579
  6. Step 6: Final answer
    x = 683,743.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.