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Finding the Third Proportional to 138,200 and 299,724

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Solution

The third proportional to 138,200 and 299,724 is: 650,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,200 : 299,724 = 299,724 : x
  2. Step 2: Convert to fraction form
    138,200/299,724 = 299,724/x
  3. Step 3: Cross multiply
    138,200x = 299,724 × 299,724
  4. Step 4: Simplify right side
    138,200x = 89,834,476,176
  5. Step 5: Solve for x
    x = 89,834,476,176/138,200
  6. Step 6: Final answer
    x = 650,032.39

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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.