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Finding the Third Proportional to 105,599 and 214,865

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Solution

The third proportional to 105,599 and 214,865 is: 437,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,599 : 214,865 = 214,865 : x
  2. Step 2: Convert to fraction form
    105,599/214,865 = 214,865/x
  3. Step 3: Cross multiply
    105,599x = 214,865 × 214,865
  4. Step 4: Simplify right side
    105,599x = 46,166,968,225
  5. Step 5: Solve for x
    x = 46,166,968,225/105,599
  6. Step 6: Final answer
    x = 437,191.34

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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.