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Finding the Third Proportional to 30,520.13 and 65,640.38

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Solution

The third proportional to 30,520.13 and 65,640.38 is: 141,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,520.13 : 65,640.38 = 65,640.38 : x
  2. Step 2: Convert to fraction form
    30,520.13/65,640.38 = 65,640.38/x
  3. Step 3: Cross multiply
    30,520.13x = 65,640.38 × 65,640.38
  4. Step 4: Simplify right side
    30,520.13x = 4,308,658,830.14
  5. Step 5: Solve for x
    x = 4,308,658,830.14/30,520.13
  6. Step 6: Final answer
    x = 141,174.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.