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Finding the Third Proportional to 728,458 and 1,584,512

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Solution

The third proportional to 728,458 and 1,584,512 is: 3,446,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,458 : 1,584,512 = 1,584,512 : x
  2. Step 2: Convert to fraction form
    728,458/1,584,512 = 1,584,512/x
  3. Step 3: Cross multiply
    728,458x = 1,584,512 × 1,584,512
  4. Step 4: Simplify right side
    728,458x = 2,510,678,278,144
  5. Step 5: Solve for x
    x = 2,510,678,278,144/728,458
  6. Step 6: Final answer
    x = 3,446,565.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.