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Finding the Third Proportional to 9,780.75 and 21,745.13

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Solution

The third proportional to 9,780.75 and 21,745.13 is: 48,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.75 : 21,745.13 = 21,745.13 : x
  2. Step 2: Convert to fraction form
    9,780.75/21,745.13 = 21,745.13/x
  3. Step 3: Cross multiply
    9,780.75x = 21,745.13 × 21,745.13
  4. Step 4: Simplify right side
    9,780.75x = 472,850,461.27
  5. Step 5: Solve for x
    x = 472,850,461.27/9,780.75
  6. Step 6: Final answer
    x = 48,345.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.