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Finding the Third Proportional to 728,163 and 1,092,243

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Solution

The third proportional to 728,163 and 1,092,243 is: 1,638,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,163 : 1,092,243 = 1,092,243 : x
  2. Step 2: Convert to fraction form
    728,163/1,092,243 = 1,092,243/x
  3. Step 3: Cross multiply
    728,163x = 1,092,243 × 1,092,243
  4. Step 4: Simplify right side
    728,163x = 1,192,994,771,049
  5. Step 5: Solve for x
    x = 1,192,994,771,049/728,163
  6. Step 6: Final answer
    x = 1,638,362.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.