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Finding the Third Proportional to 63,858 and 138,770

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Solution

The third proportional to 63,858 and 138,770 is: 301,561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,858 : 138,770 = 138,770 : x
  2. Step 2: Convert to fraction form
    63,858/138,770 = 138,770/x
  3. Step 3: Cross multiply
    63,858x = 138,770 × 138,770
  4. Step 4: Simplify right side
    63,858x = 19,257,112,900
  5. Step 5: Solve for x
    x = 19,257,112,900/63,858
  6. Step 6: Final answer
    x = 301,561.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.