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Finding the Third Proportional to 138,411 and 293,337

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Solution

The third proportional to 138,411 and 293,337 is: 621,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,411 : 293,337 = 293,337 : x
  2. Step 2: Convert to fraction form
    138,411/293,337 = 293,337/x
  3. Step 3: Cross multiply
    138,411x = 293,337 × 293,337
  4. Step 4: Simplify right side
    138,411x = 86,046,595,569
  5. Step 5: Solve for x
    x = 86,046,595,569/138,411
  6. Step 6: Final answer
    x = 621,674.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.