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Finding the Third Proportional to 138,638.25 and 299,396.25

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Solution

The third proportional to 138,638.25 and 299,396.25 is: 646,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,638.25 : 299,396.25 = 299,396.25 : x
  2. Step 2: Convert to fraction form
    138,638.25/299,396.25 = 299,396.25/x
  3. Step 3: Cross multiply
    138,638.25x = 299,396.25 × 299,396.25
  4. Step 4: Simplify right side
    138,638.25x = 89,638,114,514.06
  5. Step 5: Solve for x
    x = 89,638,114,514.06/138,638.25
  6. Step 6: Final answer
    x = 646,561.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.