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Finding the Third Proportional to 102,848 and 213,888

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Solution

The third proportional to 102,848 and 213,888 is: 444,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,848 : 213,888 = 213,888 : x
  2. Step 2: Convert to fraction form
    102,848/213,888 = 213,888/x
  3. Step 3: Cross multiply
    102,848x = 213,888 × 213,888
  4. Step 4: Simplify right side
    102,848x = 45,748,076,544
  5. Step 5: Solve for x
    x = 45,748,076,544/102,848
  6. Step 6: Final answer
    x = 444,812.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.