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Finding the Third Proportional to 136,256 and 291,264

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Solution

The third proportional to 136,256 and 291,264 is: 622,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,256 : 291,264 = 291,264 : x
  2. Step 2: Convert to fraction form
    136,256/291,264 = 291,264/x
  3. Step 3: Cross multiply
    136,256x = 291,264 × 291,264
  4. Step 4: Simplify right side
    136,256x = 84,834,717,696
  5. Step 5: Solve for x
    x = 84,834,717,696/136,256
  6. Step 6: Final answer
    x = 622,612.71

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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.