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Finding the Third Proportional to 349,688 and 728,896

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Solution

The third proportional to 349,688 and 728,896 is: 1,519,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,688 : 728,896 = 728,896 : x
  2. Step 2: Convert to fraction form
    349,688/728,896 = 728,896/x
  3. Step 3: Cross multiply
    349,688x = 728,896 × 728,896
  4. Step 4: Simplify right side
    349,688x = 531,289,378,816
  5. Step 5: Solve for x
    x = 531,289,378,816/349,688
  6. Step 6: Final answer
    x = 1,519,324.02

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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.