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Finding the Third Proportional to 349,686 and 728,892

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Solution

The third proportional to 349,686 and 728,892 is: 1,519,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,686 : 728,892 = 728,892 : x
  2. Step 2: Convert to fraction form
    349,686/728,892 = 728,892/x
  3. Step 3: Cross multiply
    349,686x = 728,892 × 728,892
  4. Step 4: Simplify right side
    349,686x = 531,283,547,664
  5. Step 5: Solve for x
    x = 531,283,547,664/349,686
  6. Step 6: Final answer
    x = 1,519,316.04

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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.