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Finding the Third Proportional to 21,670 and 45,057

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Solution

The third proportional to 21,670 and 45,057 is: 93,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670 : 45,057 = 45,057 : x
  2. Step 2: Convert to fraction form
    21,670/45,057 = 45,057/x
  3. Step 3: Cross multiply
    21,670x = 45,057 × 45,057
  4. Step 4: Simplify right side
    21,670x = 2,030,133,249
  5. Step 5: Solve for x
    x = 2,030,133,249/21,670
  6. Step 6: Final answer
    x = 93,684.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.