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Finding the Third Proportional to 122,256 and 249,696

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Solution

The third proportional to 122,256 and 249,696 is: 509,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,256 : 249,696 = 249,696 : x
  2. Step 2: Convert to fraction form
    122,256/249,696 = 249,696/x
  3. Step 3: Cross multiply
    122,256x = 249,696 × 249,696
  4. Step 4: Simplify right side
    122,256x = 62,348,092,416
  5. Step 5: Solve for x
    x = 62,348,092,416/122,256
  6. Step 6: Final answer
    x = 509,979.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.