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Finding the Third Proportional to 103,501 and 213,609

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Solution

The third proportional to 103,501 and 213,609 is: 440,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,501 : 213,609 = 213,609 : x
  2. Step 2: Convert to fraction form
    103,501/213,609 = 213,609/x
  3. Step 3: Cross multiply
    103,501x = 213,609 × 213,609
  4. Step 4: Simplify right side
    103,501x = 45,628,804,881
  5. Step 5: Solve for x
    x = 45,628,804,881/103,501
  6. Step 6: Final answer
    x = 440,853.76

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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.