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Finding the Third Proportional to 115,728 and 253,614

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Solution

The third proportional to 115,728 and 253,614 is: 555,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,728 : 253,614 = 253,614 : x
  2. Step 2: Convert to fraction form
    115,728/253,614 = 253,614/x
  3. Step 3: Cross multiply
    115,728x = 253,614 × 253,614
  4. Step 4: Simplify right side
    115,728x = 64,320,060,996
  5. Step 5: Solve for x
    x = 64,320,060,996/115,728
  6. Step 6: Final answer
    x = 555,786.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.