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Finding the Third Proportional to 299,254 and 640,544

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Solution

The third proportional to 299,254 and 640,544 is: 1,371,064.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,254 : 640,544 = 640,544 : x
  2. Step 2: Convert to fraction form
    299,254/640,544 = 640,544/x
  3. Step 3: Cross multiply
    299,254x = 640,544 × 640,544
  4. Step 4: Simplify right side
    299,254x = 410,296,615,936
  5. Step 5: Solve for x
    x = 410,296,615,936/299,254
  6. Step 6: Final answer
    x = 1,371,064.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.