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Finding the Third Proportional to 39,186 and 70,592

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Solution

The third proportional to 39,186 and 70,592 is: 127,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,186 : 70,592 = 70,592 : x
  2. Step 2: Convert to fraction form
    39,186/70,592 = 70,592/x
  3. Step 3: Cross multiply
    39,186x = 70,592 × 70,592
  4. Step 4: Simplify right side
    39,186x = 4,983,230,464
  5. Step 5: Solve for x
    x = 4,983,230,464/39,186
  6. Step 6: Final answer
    x = 127,168.64

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.