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Finding the Third Proportional to 143,448 and 315,205.50

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Solution

The third proportional to 143,448 and 315,205.50 is: 692,616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,448 : 315,205.50 = 315,205.50 : x
  2. Step 2: Convert to fraction form
    143,448/315,205.50 = 315,205.50/x
  3. Step 3: Cross multiply
    143,448x = 315,205.50 × 315,205.50
  4. Step 4: Simplify right side
    143,448x = 99,354,507,230.25
  5. Step 5: Solve for x
    x = 99,354,507,230.25/143,448
  6. Step 6: Final answer
    x = 692,616.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.