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Finding the Third Proportional to 155,628 and 347,544

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Solution

The third proportional to 155,628 and 347,544 is: 776,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,628 : 347,544 = 347,544 : x
  2. Step 2: Convert to fraction form
    155,628/347,544 = 347,544/x
  3. Step 3: Cross multiply
    155,628x = 347,544 × 347,544
  4. Step 4: Simplify right side
    155,628x = 120,786,831,936
  5. Step 5: Solve for x
    x = 120,786,831,936/155,628
  6. Step 6: Final answer
    x = 776,125.32

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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.