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Finding the Third Proportional to 30,639.75 and 42,192.75

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Solution

The third proportional to 30,639.75 and 42,192.75 is: 58,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,639.75 : 42,192.75 = 42,192.75 : x
  2. Step 2: Convert to fraction form
    30,639.75/42,192.75 = 42,192.75/x
  3. Step 3: Cross multiply
    30,639.75x = 42,192.75 × 42,192.75
  4. Step 4: Simplify right side
    30,639.75x = 1,780,228,152.56
  5. Step 5: Solve for x
    x = 1,780,228,152.56/30,639.75
  6. Step 6: Final answer
    x = 58,101.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.