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Finding the Third Proportional to 39,800 and 61,590

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Solution

The third proportional to 39,800 and 61,590 is: 95,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,800 : 61,590 = 61,590 : x
  2. Step 2: Convert to fraction form
    39,800/61,590 = 61,590/x
  3. Step 3: Cross multiply
    39,800x = 61,590 × 61,590
  4. Step 4: Simplify right side
    39,800x = 3,793,328,100
  5. Step 5: Solve for x
    x = 3,793,328,100/39,800
  6. Step 6: Final answer
    x = 95,309.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.