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Finding the Third Proportional to 339,913 and 733,043

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Solution

The third proportional to 339,913 and 733,043 is: 1,580,851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,913 : 733,043 = 733,043 : x
  2. Step 2: Convert to fraction form
    339,913/733,043 = 733,043/x
  3. Step 3: Cross multiply
    339,913x = 733,043 × 733,043
  4. Step 4: Simplify right side
    339,913x = 537,352,039,849
  5. Step 5: Solve for x
    x = 537,352,039,849/339,913
  6. Step 6: Final answer
    x = 1,580,851.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.