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Finding the Third Proportional to 414,103.50 and 618,680.25

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Solution

The third proportional to 414,103.50 and 618,680.25 is: 924,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,103.50 : 618,680.25 = 618,680.25 : x
  2. Step 2: Convert to fraction form
    414,103.50/618,680.25 = 618,680.25/x
  3. Step 3: Cross multiply
    414,103.50x = 618,680.25 × 618,680.25
  4. Step 4: Simplify right side
    414,103.50x = 382,765,251,740.06
  5. Step 5: Solve for x
    x = 382,765,251,740.06/414,103.50
  6. Step 6: Final answer
    x = 924,322.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.