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Finding the Third Proportional to 18,730 and 28,480

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Solution

The third proportional to 18,730 and 28,480 is: 43,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,730 : 28,480 = 28,480 : x
  2. Step 2: Convert to fraction form
    18,730/28,480 = 28,480/x
  3. Step 3: Cross multiply
    18,730x = 28,480 × 28,480
  4. Step 4: Simplify right side
    18,730x = 811,110,400
  5. Step 5: Solve for x
    x = 811,110,400/18,730
  6. Step 6: Final answer
    x = 43,305.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.