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Finding the Third Proportional to 145,520 and 305,728

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Solution

The third proportional to 145,520 and 305,728 is: 642,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,520 : 305,728 = 305,728 : x
  2. Step 2: Convert to fraction form
    145,520/305,728 = 305,728/x
  3. Step 3: Cross multiply
    145,520x = 305,728 × 305,728
  4. Step 4: Simplify right side
    145,520x = 93,469,609,984
  5. Step 5: Solve for x
    x = 93,469,609,984/145,520
  6. Step 6: Final answer
    x = 642,314.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.