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Finding the Third Proportional to 143,355 and 200,506

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Solution

The third proportional to 143,355 and 200,506 is: 280,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,355 : 200,506 = 200,506 : x
  2. Step 2: Convert to fraction form
    143,355/200,506 = 200,506/x
  3. Step 3: Cross multiply
    143,355x = 200,506 × 200,506
  4. Step 4: Simplify right side
    143,355x = 40,202,656,036
  5. Step 5: Solve for x
    x = 40,202,656,036/143,355
  6. Step 6: Final answer
    x = 280,441.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.