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Finding the Third Proportional to 30,999.38 and 67,254.75

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Solution

The third proportional to 30,999.38 and 67,254.75 is: 145,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.38 : 67,254.75 = 67,254.75 : x
  2. Step 2: Convert to fraction form
    30,999.38/67,254.75 = 67,254.75/x
  3. Step 3: Cross multiply
    30,999.38x = 67,254.75 × 67,254.75
  4. Step 4: Simplify right side
    30,999.38x = 4,523,201,397.56
  5. Step 5: Solve for x
    x = 4,523,201,397.56/30,999.38
  6. Step 6: Final answer
    x = 145,912.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.