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Finding the Third Proportional to 140,219 and 304,096.50

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Solution

The third proportional to 140,219 and 304,096.50 is: 659,501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,219 : 304,096.50 = 304,096.50 : x
  2. Step 2: Convert to fraction form
    140,219/304,096.50 = 304,096.50/x
  3. Step 3: Cross multiply
    140,219x = 304,096.50 × 304,096.50
  4. Step 4: Simplify right side
    140,219x = 92,474,681,312.25
  5. Step 5: Solve for x
    x = 92,474,681,312.25/140,219
  6. Step 6: Final answer
    x = 659,501.79

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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.