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Finding the Third Proportional to 299,464 and 438,049

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Solution

The third proportional to 299,464 and 438,049 is: 640,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,464 : 438,049 = 438,049 : x
  2. Step 2: Convert to fraction form
    299,464/438,049 = 438,049/x
  3. Step 3: Cross multiply
    299,464x = 438,049 × 438,049
  4. Step 4: Simplify right side
    299,464x = 191,886,926,401
  5. Step 5: Solve for x
    x = 191,886,926,401/299,464
  6. Step 6: Final answer
    x = 640,767.93

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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.