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Finding the Third Proportional to 303,840 and 654,408

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Solution

The third proportional to 303,840 and 654,408 is: 1,409,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,840 : 654,408 = 654,408 : x
  2. Step 2: Convert to fraction form
    303,840/654,408 = 654,408/x
  3. Step 3: Cross multiply
    303,840x = 654,408 × 654,408
  4. Step 4: Simplify right side
    303,840x = 428,249,830,464
  5. Step 5: Solve for x
    x = 428,249,830,464/303,840
  6. Step 6: Final answer
    x = 1,409,458.37

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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.