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Finding the Third Proportional to 118,728 and 253,028

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Solution

The third proportional to 118,728 and 253,028 is: 539,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,728 : 253,028 = 253,028 : x
  2. Step 2: Convert to fraction form
    118,728/253,028 = 253,028/x
  3. Step 3: Cross multiply
    118,728x = 253,028 × 253,028
  4. Step 4: Simplify right side
    118,728x = 64,023,168,784
  5. Step 5: Solve for x
    x = 64,023,168,784/118,728
  6. Step 6: Final answer
    x = 539,242.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.