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Finding the Third Proportional to 414,397.50 and 639,902.25

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Solution

The third proportional to 414,397.50 and 639,902.25 is: 988,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,397.50 : 639,902.25 = 639,902.25 : x
  2. Step 2: Convert to fraction form
    414,397.50/639,902.25 = 639,902.25/x
  3. Step 3: Cross multiply
    414,397.50x = 639,902.25 × 639,902.25
  4. Step 4: Simplify right side
    414,397.50x = 409,474,889,555.06
  5. Step 5: Solve for x
    x = 409,474,889,555.06/414,397.50
  6. Step 6: Final answer
    x = 988,121.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.