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Finding the Third Proportional to 728,468 and 1,102,858

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Solution

The third proportional to 728,468 and 1,102,858 is: 1,669,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,468 : 1,102,858 = 1,102,858 : x
  2. Step 2: Convert to fraction form
    728,468/1,102,858 = 1,102,858/x
  3. Step 3: Cross multiply
    728,468x = 1,102,858 × 1,102,858
  4. Step 4: Simplify right side
    728,468x = 1,216,295,768,164
  5. Step 5: Solve for x
    x = 1,216,295,768,164/728,468
  6. Step 6: Final answer
    x = 1,669,662.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.