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Finding the Third Proportional to 30,438 and 43,439

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Solution

The third proportional to 30,438 and 43,439 is: 61,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438 : 43,439 = 43,439 : x
  2. Step 2: Convert to fraction form
    30,438/43,439 = 43,439/x
  3. Step 3: Cross multiply
    30,438x = 43,439 × 43,439
  4. Step 4: Simplify right side
    30,438x = 1,886,946,721
  5. Step 5: Solve for x
    x = 1,886,946,721/30,438
  6. Step 6: Final answer
    x = 61,993.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.