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Finding the Third Proportional to 782,556.75 and 1,048,204.13

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Solution

The third proportional to 782,556.75 and 1,048,204.13 is: 1,404,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,556.75 : 1,048,204.13 = 1,048,204.13 : x
  2. Step 2: Convert to fraction form
    782,556.75/1,048,204.13 = 1,048,204.13/x
  3. Step 3: Cross multiply
    782,556.75x = 1,048,204.13 × 1,048,204.13
  4. Step 4: Simplify right side
    782,556.75x = 1,098,731,887,667.02
  5. Step 5: Solve for x
    x = 1,098,731,887,667.02/782,556.75
  6. Step 6: Final answer
    x = 1,404,028.38

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.