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Finding the Third Proportional to 143,643.38 and 291,390.75

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Solution

The third proportional to 143,643.38 and 291,390.75 is: 591,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,643.38 : 291,390.75 = 291,390.75 : x
  2. Step 2: Convert to fraction form
    143,643.38/291,390.75 = 291,390.75/x
  3. Step 3: Cross multiply
    143,643.38x = 291,390.75 × 291,390.75
  4. Step 4: Simplify right side
    143,643.38x = 84,908,569,185.56
  5. Step 5: Solve for x
    x = 84,908,569,185.56/143,643.38
  6. Step 6: Final answer
    x = 591,106.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.