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Finding the Third Proportional to 18,749 and 28,316

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Solution

The third proportional to 18,749 and 28,316 is: 42,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,749 : 28,316 = 28,316 : x
  2. Step 2: Convert to fraction form
    18,749/28,316 = 28,316/x
  3. Step 3: Cross multiply
    18,749x = 28,316 × 28,316
  4. Step 4: Simplify right side
    18,749x = 801,795,856
  5. Step 5: Solve for x
    x = 801,795,856/18,749
  6. Step 6: Final answer
    x = 42,764.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.