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Finding the Third Proportional to 415,211.25 and 677,996.25

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Solution

The third proportional to 415,211.25 and 677,996.25 is: 1,107,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,211.25 : 677,996.25 = 677,996.25 : x
  2. Step 2: Convert to fraction form
    415,211.25/677,996.25 = 677,996.25/x
  3. Step 3: Cross multiply
    415,211.25x = 677,996.25 × 677,996.25
  4. Step 4: Simplify right side
    415,211.25x = 459,678,915,014.06
  5. Step 5: Solve for x
    x = 459,678,915,014.06/415,211.25
  6. Step 6: Final answer
    x = 1,107,096.48

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.