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Finding the Third Proportional to 105,829 and 218,961

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Solution

The third proportional to 105,829 and 218,961 is: 453,031.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,829 : 218,961 = 218,961 : x
  2. Step 2: Convert to fraction form
    105,829/218,961 = 218,961/x
  3. Step 3: Cross multiply
    105,829x = 218,961 × 218,961
  4. Step 4: Simplify right side
    105,829x = 47,943,919,521
  5. Step 5: Solve for x
    x = 47,943,919,521/105,829
  6. Step 6: Final answer
    x = 453,031.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.