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Finding the Third Proportional to 253,608 and 387,180

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Solution

The third proportional to 253,608 and 387,180 is: 591,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,608 : 387,180 = 387,180 : x
  2. Step 2: Convert to fraction form
    253,608/387,180 = 387,180/x
  3. Step 3: Cross multiply
    253,608x = 387,180 × 387,180
  4. Step 4: Simplify right side
    253,608x = 149,908,352,400
  5. Step 5: Solve for x
    x = 149,908,352,400/253,608
  6. Step 6: Final answer
    x = 591,102.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.