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Finding the Third Proportional to 19,305 and 21,303

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Solution

The third proportional to 19,305 and 21,303 is: 23,507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,305 : 21,303 = 21,303 : x
  2. Step 2: Convert to fraction form
    19,305/21,303 = 21,303/x
  3. Step 3: Cross multiply
    19,305x = 21,303 × 21,303
  4. Step 4: Simplify right side
    19,305x = 453,817,809
  5. Step 5: Solve for x
    x = 453,817,809/19,305
  6. Step 6: Final answer
    x = 23,507.79

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.