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Finding the Third Proportional to 291,265 and 441,408

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Solution

The third proportional to 291,265 and 441,408 is: 668,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,265 : 441,408 = 441,408 : x
  2. Step 2: Convert to fraction form
    291,265/441,408 = 441,408/x
  3. Step 3: Cross multiply
    291,265x = 441,408 × 441,408
  4. Step 4: Simplify right side
    291,265x = 194,841,022,464
  5. Step 5: Solve for x
    x = 194,841,022,464/291,265
  6. Step 6: Final answer
    x = 668,947.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.