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Finding the Third Proportional to 9,721.13 and 21,305.25

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Solution

The third proportional to 9,721.13 and 21,305.25 is: 46,693.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.13 : 21,305.25 = 21,305.25 : x
  2. Step 2: Convert to fraction form
    9,721.13/21,305.25 = 21,305.25/x
  3. Step 3: Cross multiply
    9,721.13x = 21,305.25 × 21,305.25
  4. Step 4: Simplify right side
    9,721.13x = 453,913,677.56
  5. Step 5: Solve for x
    x = 453,913,677.56/9,721.13
  6. Step 6: Final answer
    x = 46,693.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.