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Finding the Third Proportional to 728,301.38 and 1,580,441.63

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Solution

The third proportional to 728,301.38 and 1,580,441.63 is: 3,429,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,301.38 : 1,580,441.63 = 1,580,441.63 : x
  2. Step 2: Convert to fraction form
    728,301.38/1,580,441.63 = 1,580,441.63/x
  3. Step 3: Cross multiply
    728,301.38x = 1,580,441.63 × 1,580,441.63
  4. Step 4: Simplify right side
    728,301.38x = 2,497,795,730,032.64
  5. Step 5: Solve for x
    x = 2,497,795,730,032.64/728,301.38
  6. Step 6: Final answer
    x = 3,429,618.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.