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Finding the Third Proportional to 155,640 and 351,696

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Solution

The third proportional to 155,640 and 351,696 is: 794,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,640 : 351,696 = 351,696 : x
  2. Step 2: Convert to fraction form
    155,640/351,696 = 351,696/x
  3. Step 3: Cross multiply
    155,640x = 351,696 × 351,696
  4. Step 4: Simplify right side
    155,640x = 123,690,076,416
  5. Step 5: Solve for x
    x = 123,690,076,416/155,640
  6. Step 6: Final answer
    x = 794,719.07

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.