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Finding the Third Proportional to 143,291.75 and 311,460.25

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Solution

The third proportional to 143,291.75 and 311,460.25 is: 676,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,291.75 : 311,460.25 = 311,460.25 : x
  2. Step 2: Convert to fraction form
    143,291.75/311,460.25 = 311,460.25/x
  3. Step 3: Cross multiply
    143,291.75x = 311,460.25 × 311,460.25
  4. Step 4: Simplify right side
    143,291.75x = 97,007,487,330.06
  5. Step 5: Solve for x
    x = 97,007,487,330.06/143,291.75
  6. Step 6: Final answer
    x = 676,992.83

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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.