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Finding the Third Proportional to 138,431 and 296,057

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Solution

The third proportional to 138,431 and 296,057 is: 633,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,431 : 296,057 = 296,057 : x
  2. Step 2: Convert to fraction form
    138,431/296,057 = 296,057/x
  3. Step 3: Cross multiply
    138,431x = 296,057 × 296,057
  4. Step 4: Simplify right side
    138,431x = 87,649,747,249
  5. Step 5: Solve for x
    x = 87,649,747,249/138,431
  6. Step 6: Final answer
    x = 633,165.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.