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Finding the Third Proportional to 663,408.75 and 907,821

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Solution

The third proportional to 663,408.75 and 907,821 is: 1,242,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,408.75 : 907,821 = 907,821 : x
  2. Step 2: Convert to fraction form
    663,408.75/907,821 = 907,821/x
  3. Step 3: Cross multiply
    663,408.75x = 907,821 × 907,821
  4. Step 4: Simplify right side
    663,408.75x = 824,138,968,041
  5. Step 5: Solve for x
    x = 824,138,968,041/663,408.75
  6. Step 6: Final answer
    x = 1,242,279.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.