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Finding the Third Proportional to 9,805.13 and 21,432.75

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Solution

The third proportional to 9,805.13 and 21,432.75 is: 46,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.13 : 21,432.75 = 21,432.75 : x
  2. Step 2: Convert to fraction form
    9,805.13/21,432.75 = 21,432.75/x
  3. Step 3: Cross multiply
    9,805.13x = 21,432.75 × 21,432.75
  4. Step 4: Simplify right side
    9,805.13x = 459,362,772.56
  5. Step 5: Solve for x
    x = 459,362,772.56/9,805.13
  6. Step 6: Final answer
    x = 46,849.25

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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.