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Finding the Third Proportional to 299,255 and 640,545

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Solution

The third proportional to 299,255 and 640,545 is: 1,371,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,255 : 640,545 = 640,545 : x
  2. Step 2: Convert to fraction form
    299,255/640,545 = 640,545/x
  3. Step 3: Cross multiply
    299,255x = 640,545 × 640,545
  4. Step 4: Simplify right side
    299,255x = 410,297,897,025
  5. Step 5: Solve for x
    x = 410,297,897,025/299,255
  6. Step 6: Final answer
    x = 1,371,064.47

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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.