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Finding the Third Proportional to 299,796 and 638,433

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Solution

The third proportional to 299,796 and 638,433 is: 1,359,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,796 : 638,433 = 638,433 : x
  2. Step 2: Convert to fraction form
    299,796/638,433 = 638,433/x
  3. Step 3: Cross multiply
    299,796x = 638,433 × 638,433
  4. Step 4: Simplify right side
    299,796x = 407,596,695,489
  5. Step 5: Solve for x
    x = 407,596,695,489/299,796
  6. Step 6: Final answer
    x = 1,359,580.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.