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Finding the Third Proportional to 389,076.75 and 851,964.75

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Solution

The third proportional to 389,076.75 and 851,964.75 is: 1,865,554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,076.75 : 851,964.75 = 851,964.75 : x
  2. Step 2: Convert to fraction form
    389,076.75/851,964.75 = 851,964.75/x
  3. Step 3: Cross multiply
    389,076.75x = 851,964.75 × 851,964.75
  4. Step 4: Simplify right side
    389,076.75x = 725,843,935,242.56
  5. Step 5: Solve for x
    x = 725,843,935,242.56/389,076.75
  6. Step 6: Final answer
    x = 1,865,554.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.