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Finding the Third Proportional to 100,305 and 155,813.63

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Solution

The third proportional to 100,305 and 155,813.63 is: 242,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,305 : 155,813.63 = 155,813.63 : x
  2. Step 2: Convert to fraction form
    100,305/155,813.63 = 155,813.63/x
  3. Step 3: Cross multiply
    100,305x = 155,813.63 × 155,813.63
  4. Step 4: Simplify right side
    100,305x = 24,277,885,735.64
  5. Step 5: Solve for x
    x = 24,277,885,735.64/100,305
  6. Step 6: Final answer
    x = 242,040.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.