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Finding the Third Proportional to 18,430 and 24,728

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Solution

The third proportional to 18,430 and 24,728 is: 33,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,430 : 24,728 = 24,728 : x
  2. Step 2: Convert to fraction form
    18,430/24,728 = 24,728/x
  3. Step 3: Cross multiply
    18,430x = 24,728 × 24,728
  4. Step 4: Simplify right side
    18,430x = 611,473,984
  5. Step 5: Solve for x
    x = 611,473,984/18,430
  6. Step 6: Final answer
    x = 33,178.19

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1.5x scale

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.