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Finding the Third Proportional to 143,709.75 and 296,643.38

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Solution

The third proportional to 143,709.75 and 296,643.38 is: 612,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,709.75 : 296,643.38 = 296,643.38 : x
  2. Step 2: Convert to fraction form
    143,709.75/296,643.38 = 296,643.38/x
  3. Step 3: Cross multiply
    143,709.75x = 296,643.38 × 296,643.38
  4. Step 4: Simplify right side
    143,709.75x = 87,997,291,931.39
  5. Step 5: Solve for x
    x = 87,997,291,931.39/143,709.75
  6. Step 6: Final answer
    x = 612,326.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.