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Finding the Third Proportional to 335,576 and 737,464

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Solution

The third proportional to 335,576 and 737,464 is: 1,620,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,576 : 737,464 = 737,464 : x
  2. Step 2: Convert to fraction form
    335,576/737,464 = 737,464/x
  3. Step 3: Cross multiply
    335,576x = 737,464 × 737,464
  4. Step 4: Simplify right side
    335,576x = 543,853,151,296
  5. Step 5: Solve for x
    x = 543,853,151,296/335,576
  6. Step 6: Final answer
    x = 1,620,655.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.