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Finding the Third Proportional to 63,131 and 138,717

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Solution

The third proportional to 63,131 and 138,717 is: 304,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,131 : 138,717 = 138,717 : x
  2. Step 2: Convert to fraction form
    63,131/138,717 = 138,717/x
  3. Step 3: Cross multiply
    63,131x = 138,717 × 138,717
  4. Step 4: Simplify right side
    63,131x = 19,242,406,089
  5. Step 5: Solve for x
    x = 19,242,406,089/63,131
  6. Step 6: Final answer
    x = 304,801.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.