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Finding the Third Proportional to 21,431 and 46,670

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Solution

The third proportional to 21,431 and 46,670 is: 101,632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431 : 46,670 = 46,670 : x
  2. Step 2: Convert to fraction form
    21,431/46,670 = 46,670/x
  3. Step 3: Cross multiply
    21,431x = 46,670 × 46,670
  4. Step 4: Simplify right side
    21,431x = 2,178,088,900
  5. Step 5: Solve for x
    x = 2,178,088,900/21,431
  6. Step 6: Final answer
    x = 101,632.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.