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Finding the Third Proportional to 631,329.19 and 1,380,756.38

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Solution

The third proportional to 631,329.19 and 1,380,756.38 is: 3,019,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,329.19 : 1,380,756.38 = 1,380,756.38 : x
  2. Step 2: Convert to fraction form
    631,329.19/1,380,756.38 = 1,380,756.38/x
  3. Step 3: Cross multiply
    631,329.19x = 1,380,756.38 × 1,380,756.38
  4. Step 4: Simplify right side
    631,329.19x = 1,906,488,167,103.14
  5. Step 5: Solve for x
    x = 1,906,488,167,103.14/631,329.19
  6. Step 6: Final answer
    x = 3,019,800.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.