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Finding the Third Proportional to 281,157.75 and 449,678.25

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Solution

The third proportional to 281,157.75 and 449,678.25 is: 719,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,157.75 : 449,678.25 = 449,678.25 : x
  2. Step 2: Convert to fraction form
    281,157.75/449,678.25 = 449,678.25/x
  3. Step 3: Cross multiply
    281,157.75x = 449,678.25 × 449,678.25
  4. Step 4: Simplify right side
    281,157.75x = 202,210,528,523.06
  5. Step 5: Solve for x
    x = 202,210,528,523.06/281,157.75
  6. Step 6: Final answer
    x = 719,206.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.