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Finding the Third Proportional to 155,277 and 345,546

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Solution

The third proportional to 155,277 and 345,546 is: 768,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,277 : 345,546 = 345,546 : x
  2. Step 2: Convert to fraction form
    155,277/345,546 = 345,546/x
  3. Step 3: Cross multiply
    155,277x = 345,546 × 345,546
  4. Step 4: Simplify right side
    155,277x = 119,402,038,116
  5. Step 5: Solve for x
    x = 119,402,038,116/155,277
  6. Step 6: Final answer
    x = 768,961.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.