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Finding the Third Proportional to 30,675.38 and 65,721.38

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Solution

The third proportional to 30,675.38 and 65,721.38 is: 140,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675.38 : 65,721.38 = 65,721.38 : x
  2. Step 2: Convert to fraction form
    30,675.38/65,721.38 = 65,721.38/x
  3. Step 3: Cross multiply
    30,675.38x = 65,721.38 × 65,721.38
  4. Step 4: Simplify right side
    30,675.38x = 4,319,299,131.89
  5. Step 5: Solve for x
    x = 4,319,299,131.89/30,675.38
  6. Step 6: Final answer
    x = 140,806.73

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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.