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Finding the Third Proportional to 909,928.69 and 1,310,764.78

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Solution

The third proportional to 909,928.69 and 1,310,764.78 is: 1,888,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,928.69 : 1,310,764.78 = 1,310,764.78 : x
  2. Step 2: Convert to fraction form
    909,928.69/1,310,764.78 = 1,310,764.78/x
  3. Step 3: Cross multiply
    909,928.69x = 1,310,764.78 × 1,310,764.78
  4. Step 4: Simplify right side
    909,928.69x = 1,718,104,311,765.36
  5. Step 5: Solve for x
    x = 1,718,104,311,765.36/909,928.69
  6. Step 6: Final answer
    x = 1,888,174.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.