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Finding the Third Proportional to 304,107 and 438,055

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Solution

The third proportional to 304,107 and 438,055 is: 631,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,107 : 438,055 = 438,055 : x
  2. Step 2: Convert to fraction form
    304,107/438,055 = 438,055/x
  3. Step 3: Cross multiply
    304,107x = 438,055 × 438,055
  4. Step 4: Simplify right side
    304,107x = 191,892,183,025
  5. Step 5: Solve for x
    x = 191,892,183,025/304,107
  6. Step 6: Final answer
    x = 631,002.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.