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Finding the Third Proportional to 49,380 and 79,530

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Solution

The third proportional to 49,380 and 79,530 is: 128,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,380 : 79,530 = 79,530 : x
  2. Step 2: Convert to fraction form
    49,380/79,530 = 79,530/x
  3. Step 3: Cross multiply
    49,380x = 79,530 × 79,530
  4. Step 4: Simplify right side
    49,380x = 6,325,020,900
  5. Step 5: Solve for x
    x = 6,325,020,900/49,380
  6. Step 6: Final answer
    x = 128,088.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.