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Finding the Third Proportional to 143,055 and 310,690.50

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Solution

The third proportional to 143,055 and 310,690.50 is: 674,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,055 : 310,690.50 = 310,690.50 : x
  2. Step 2: Convert to fraction form
    143,055/310,690.50 = 310,690.50/x
  3. Step 3: Cross multiply
    143,055x = 310,690.50 × 310,690.50
  4. Step 4: Simplify right side
    143,055x = 96,528,586,790.25
  5. Step 5: Solve for x
    x = 96,528,586,790.25/143,055
  6. Step 6: Final answer
    x = 674,765.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.