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Finding the Third Proportional to 30,419 and 40,689

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Solution

The third proportional to 30,419 and 40,689 is: 54,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419 : 40,689 = 40,689 : x
  2. Step 2: Convert to fraction form
    30,419/40,689 = 40,689/x
  3. Step 3: Cross multiply
    30,419x = 40,689 × 40,689
  4. Step 4: Simplify right side
    30,419x = 1,655,594,721
  5. Step 5: Solve for x
    x = 1,655,594,721/30,419
  6. Step 6: Final answer
    x = 54,426.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.