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Finding the Third Proportional to 138,030 and 293,556

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Solution

The third proportional to 138,030 and 293,556 is: 624,321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,030 : 293,556 = 293,556 : x
  2. Step 2: Convert to fraction form
    138,030/293,556 = 293,556/x
  3. Step 3: Cross multiply
    138,030x = 293,556 × 293,556
  4. Step 4: Simplify right side
    138,030x = 86,175,125,136
  5. Step 5: Solve for x
    x = 86,175,125,136/138,030
  6. Step 6: Final answer
    x = 624,321.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.