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Finding the Third Proportional to 63,159 and 138,205

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Solution

The third proportional to 63,159 and 138,205 is: 302,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,159 : 138,205 = 138,205 : x
  2. Step 2: Convert to fraction form
    63,159/138,205 = 138,205/x
  3. Step 3: Cross multiply
    63,159x = 138,205 × 138,205
  4. Step 4: Simplify right side
    63,159x = 19,100,622,025
  5. Step 5: Solve for x
    x = 19,100,622,025/63,159
  6. Step 6: Final answer
    x = 302,421.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.