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Finding the Third Proportional to 38,400 and 51,605

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Solution

The third proportional to 38,400 and 51,605 is: 69,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400 : 51,605 = 51,605 : x
  2. Step 2: Convert to fraction form
    38,400/51,605 = 51,605/x
  3. Step 3: Cross multiply
    38,400x = 51,605 × 51,605
  4. Step 4: Simplify right side
    38,400x = 2,663,076,025
  5. Step 5: Solve for x
    x = 2,663,076,025/38,400
  6. Step 6: Final answer
    x = 69,350.94

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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.