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Finding the Third Proportional to 252,780 and 380,772

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Solution

The third proportional to 252,780 and 380,772 is: 573,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,780 : 380,772 = 380,772 : x
  2. Step 2: Convert to fraction form
    252,780/380,772 = 380,772/x
  3. Step 3: Cross multiply
    252,780x = 380,772 × 380,772
  4. Step 4: Simplify right side
    252,780x = 144,987,315,984
  5. Step 5: Solve for x
    x = 144,987,315,984/252,780
  6. Step 6: Final answer
    x = 573,571.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.