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Finding the Third Proportional to 300,026 and 438,187

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Solution

The third proportional to 300,026 and 438,187 is: 639,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,026 : 438,187 = 438,187 : x
  2. Step 2: Convert to fraction form
    300,026/438,187 = 438,187/x
  3. Step 3: Cross multiply
    300,026x = 438,187 × 438,187
  4. Step 4: Simplify right side
    300,026x = 192,007,846,969
  5. Step 5: Solve for x
    x = 192,007,846,969/300,026
  6. Step 6: Final answer
    x = 639,970.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.