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Finding the Third Proportional to 63,201 and 138,279

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Solution

The third proportional to 63,201 and 138,279 is: 302,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,201 : 138,279 = 138,279 : x
  2. Step 2: Convert to fraction form
    63,201/138,279 = 138,279/x
  3. Step 3: Cross multiply
    63,201x = 138,279 × 138,279
  4. Step 4: Simplify right side
    63,201x = 19,121,081,841
  5. Step 5: Solve for x
    x = 19,121,081,841/63,201
  6. Step 6: Final answer
    x = 302,543.98

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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.