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Finding the Third Proportional to 907,399 and 1,392,821

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Solution

The third proportional to 907,399 and 1,392,821 is: 2,137,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,399 : 1,392,821 = 1,392,821 : x
  2. Step 2: Convert to fraction form
    907,399/1,392,821 = 1,392,821/x
  3. Step 3: Cross multiply
    907,399x = 1,392,821 × 1,392,821
  4. Step 4: Simplify right side
    907,399x = 1,939,950,338,041
  5. Step 5: Solve for x
    x = 1,939,950,338,041/907,399
  6. Step 6: Final answer
    x = 2,137,924.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.