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Finding the Third Proportional to 115,371 and 155,202.75

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Solution

The third proportional to 115,371 and 155,202.75 is: 208,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,371 : 155,202.75 = 155,202.75 : x
  2. Step 2: Convert to fraction form
    115,371/155,202.75 = 155,202.75/x
  3. Step 3: Cross multiply
    115,371x = 155,202.75 × 155,202.75
  4. Step 4: Simplify right side
    115,371x = 24,087,893,607.56
  5. Step 5: Solve for x
    x = 24,087,893,607.56/115,371
  6. Step 6: Final answer
    x = 208,786.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.