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Finding the Third Proportional to 292,256 and 629,664

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Solution

The third proportional to 292,256 and 629,664 is: 1,356,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,256 : 629,664 = 629,664 : x
  2. Step 2: Convert to fraction form
    292,256/629,664 = 629,664/x
  3. Step 3: Cross multiply
    292,256x = 629,664 × 629,664
  4. Step 4: Simplify right side
    292,256x = 396,476,752,896
  5. Step 5: Solve for x
    x = 396,476,752,896/292,256
  6. Step 6: Final answer
    x = 1,356,607.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.