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Finding the Third Proportional to 133,785 and 295,480.13

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Solution

The third proportional to 133,785 and 295,480.13 is: 652,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,785 : 295,480.13 = 295,480.13 : x
  2. Step 2: Convert to fraction form
    133,785/295,480.13 = 295,480.13/x
  3. Step 3: Cross multiply
    133,785x = 295,480.13 × 295,480.13
  4. Step 4: Simplify right side
    133,785x = 87,308,504,270.02
  5. Step 5: Solve for x
    x = 87,308,504,270.02/133,785
  6. Step 6: Final answer
    x = 652,603.09

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.