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Finding the Third Proportional to 338,232 and 728,790

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Solution

The third proportional to 338,232 and 728,790 is: 1,570,327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,232 : 728,790 = 728,790 : x
  2. Step 2: Convert to fraction form
    338,232/728,790 = 728,790/x
  3. Step 3: Cross multiply
    338,232x = 728,790 × 728,790
  4. Step 4: Simplify right side
    338,232x = 531,134,864,100
  5. Step 5: Solve for x
    x = 531,134,864,100/338,232
  6. Step 6: Final answer
    x = 1,570,327.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.