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Finding the Third Proportional to 143,679 and 312,227.75

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Solution

The third proportional to 143,679 and 312,227.75 is: 678,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,679 : 312,227.75 = 312,227.75 : x
  2. Step 2: Convert to fraction form
    143,679/312,227.75 = 312,227.75/x
  3. Step 3: Cross multiply
    143,679x = 312,227.75 × 312,227.75
  4. Step 4: Simplify right side
    143,679x = 97,486,167,870.06
  5. Step 5: Solve for x
    x = 97,486,167,870.06/143,679
  6. Step 6: Final answer
    x = 678,499.77

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