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Finding the Third Proportional to 55,270 and 118,425

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Solution

The third proportional to 55,270 and 118,425 is: 253,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,270 : 118,425 = 118,425 : x
  2. Step 2: Convert to fraction form
    55,270/118,425 = 118,425/x
  3. Step 3: Cross multiply
    55,270x = 118,425 × 118,425
  4. Step 4: Simplify right side
    55,270x = 14,024,480,625
  5. Step 5: Solve for x
    x = 14,024,480,625/55,270
  6. Step 6: Final answer
    x = 253,744.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.