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Finding the Third Proportional to 76,206 and 102,798

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Solution

The third proportional to 76,206 and 102,798 is: 138,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,206 : 102,798 = 102,798 : x
  2. Step 2: Convert to fraction form
    76,206/102,798 = 102,798/x
  3. Step 3: Cross multiply
    76,206x = 102,798 × 102,798
  4. Step 4: Simplify right side
    76,206x = 10,567,428,804
  5. Step 5: Solve for x
    x = 10,567,428,804/76,206
  6. Step 6: Final answer
    x = 138,669.25

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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.