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Finding the Third Proportional to 768,852 and 1,183,369.50

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Solution

The third proportional to 768,852 and 1,183,369.50 is: 1,821,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,852 : 1,183,369.50 = 1,183,369.50 : x
  2. Step 2: Convert to fraction form
    768,852/1,183,369.50 = 1,183,369.50/x
  3. Step 3: Cross multiply
    768,852x = 1,183,369.50 × 1,183,369.50
  4. Step 4: Simplify right side
    768,852x = 1,400,363,373,530.25
  5. Step 5: Solve for x
    x = 1,400,363,373,530.25/768,852
  6. Step 6: Final answer
    x = 1,821,369.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.