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Finding the Third Proportional to 349,684 and 728,888

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Solution

The third proportional to 349,684 and 728,888 is: 1,519,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,684 : 728,888 = 728,888 : x
  2. Step 2: Convert to fraction form
    349,684/728,888 = 728,888/x
  3. Step 3: Cross multiply
    349,684x = 728,888 × 728,888
  4. Step 4: Simplify right side
    349,684x = 531,277,716,544
  5. Step 5: Solve for x
    x = 531,277,716,544/349,684
  6. Step 6: Final answer
    x = 1,519,308.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.