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Finding the Third Proportional to 36,391 and 79,709

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Solution

The third proportional to 36,391 and 79,709 is: 174,590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,391 : 79,709 = 79,709 : x
  2. Step 2: Convert to fraction form
    36,391/79,709 = 79,709/x
  3. Step 3: Cross multiply
    36,391x = 79,709 × 79,709
  4. Step 4: Simplify right side
    36,391x = 6,353,524,681
  5. Step 5: Solve for x
    x = 6,353,524,681/36,391
  6. Step 6: Final answer
    x = 174,590.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.