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Finding the Third Proportional to 28,756 and 38,670

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Solution

The third proportional to 28,756 and 38,670 is: 52,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,756 : 38,670 = 38,670 : x
  2. Step 2: Convert to fraction form
    28,756/38,670 = 38,670/x
  3. Step 3: Cross multiply
    28,756x = 38,670 × 38,670
  4. Step 4: Simplify right side
    28,756x = 1,495,368,900
  5. Step 5: Solve for x
    x = 1,495,368,900/28,756
  6. Step 6: Final answer
    x = 52,001.98

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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.