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Finding the Third Proportional to 143,896 and 214,368

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Solution

The third proportional to 143,896 and 214,368 is: 319,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,896 : 214,368 = 214,368 : x
  2. Step 2: Convert to fraction form
    143,896/214,368 = 214,368/x
  3. Step 3: Cross multiply
    143,896x = 214,368 × 214,368
  4. Step 4: Simplify right side
    143,896x = 45,953,639,424
  5. Step 5: Solve for x
    x = 45,953,639,424/143,896
  6. Step 6: Final answer
    x = 319,353.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.