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Finding the Third Proportional to 76,207 and 102,796

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Solution

The third proportional to 76,207 and 102,796 is: 138,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,207 : 102,796 = 102,796 : x
  2. Step 2: Convert to fraction form
    76,207/102,796 = 102,796/x
  3. Step 3: Cross multiply
    76,207x = 102,796 × 102,796
  4. Step 4: Simplify right side
    76,207x = 10,567,017,616
  5. Step 5: Solve for x
    x = 10,567,017,616/76,207
  6. Step 6: Final answer
    x = 138,662.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.