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Finding the Third Proportional to 421,783.88 and 905,900.63

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Solution

The third proportional to 421,783.88 and 905,900.63 is: 1,945,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,783.88 : 905,900.63 = 905,900.63 : x
  2. Step 2: Convert to fraction form
    421,783.88/905,900.63 = 905,900.63/x
  3. Step 3: Cross multiply
    421,783.88x = 905,900.63 × 905,900.63
  4. Step 4: Simplify right side
    421,783.88x = 820,655,942,375.39
  5. Step 5: Solve for x
    x = 820,655,942,375.39/421,783.88
  6. Step 6: Final answer
    x = 1,945,678.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.