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Finding the Third Proportional to 63,804 and 138,786

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Solution

The third proportional to 63,804 and 138,786 is: 301,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,804 : 138,786 = 138,786 : x
  2. Step 2: Convert to fraction form
    63,804/138,786 = 138,786/x
  3. Step 3: Cross multiply
    63,804x = 138,786 × 138,786
  4. Step 4: Simplify right side
    63,804x = 19,261,553,796
  5. Step 5: Solve for x
    x = 19,261,553,796/63,804
  6. Step 6: Final answer
    x = 301,886.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.