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Finding the Third Proportional to 20,473 and 43,009

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Solution

The third proportional to 20,473 and 43,009 is: 90,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473 : 43,009 = 43,009 : x
  2. Step 2: Convert to fraction form
    20,473/43,009 = 43,009/x
  3. Step 3: Cross multiply
    20,473x = 43,009 × 43,009
  4. Step 4: Simplify right side
    20,473x = 1,849,774,081
  5. Step 5: Solve for x
    x = 1,849,774,081/20,473
  6. Step 6: Final answer
    x = 90,351.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.