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Finding the Third Proportional to 18,616 and 28,434

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Solution

The third proportional to 18,616 and 28,434 is: 43,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,616 : 28,434 = 28,434 : x
  2. Step 2: Convert to fraction form
    18,616/28,434 = 28,434/x
  3. Step 3: Cross multiply
    18,616x = 28,434 × 28,434
  4. Step 4: Simplify right side
    18,616x = 808,492,356
  5. Step 5: Solve for x
    x = 808,492,356/18,616
  6. Step 6: Final answer
    x = 43,429.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.