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Finding the Third Proportional to 63,604 and 138,143

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Solution

The third proportional to 63,604 and 138,143 is: 300,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,604 : 138,143 = 138,143 : x
  2. Step 2: Convert to fraction form
    63,604/138,143 = 138,143/x
  3. Step 3: Cross multiply
    63,604x = 138,143 × 138,143
  4. Step 4: Simplify right side
    63,604x = 19,083,488,449
  5. Step 5: Solve for x
    x = 19,083,488,449/63,604
  6. Step 6: Final answer
    x = 300,035.98

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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.