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Finding the Third Proportional to 138,029 and 297,175

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Solution

The third proportional to 138,029 and 297,175 is: 639,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,029 : 297,175 = 297,175 : x
  2. Step 2: Convert to fraction form
    138,029/297,175 = 297,175/x
  3. Step 3: Cross multiply
    138,029x = 297,175 × 297,175
  4. Step 4: Simplify right side
    138,029x = 88,312,980,625
  5. Step 5: Solve for x
    x = 88,312,980,625/138,029
  6. Step 6: Final answer
    x = 639,814.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.