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Finding the Third Proportional to 143,109.75 and 210,288.75

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Solution

The third proportional to 143,109.75 and 210,288.75 is: 309,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,109.75 : 210,288.75 = 210,288.75 : x
  2. Step 2: Convert to fraction form
    143,109.75/210,288.75 = 210,288.75/x
  3. Step 3: Cross multiply
    143,109.75x = 210,288.75 × 210,288.75
  4. Step 4: Simplify right side
    143,109.75x = 44,221,358,376.56
  5. Step 5: Solve for x
    x = 44,221,358,376.56/143,109.75
  6. Step 6: Final answer
    x = 309,003.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.