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Finding the Third Proportional to 15,670 and 36,906

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Solution

The third proportional to 15,670 and 36,906 is: 86,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,670 : 36,906 = 36,906 : x
  2. Step 2: Convert to fraction form
    15,670/36,906 = 36,906/x
  3. Step 3: Cross multiply
    15,670x = 36,906 × 36,906
  4. Step 4: Simplify right side
    15,670x = 1,362,052,836
  5. Step 5: Solve for x
    x = 1,362,052,836/15,670
  6. Step 6: Final answer
    x = 86,921.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.