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Finding the Third Proportional to 9,785 and 21,165.50

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Solution

The third proportional to 9,785 and 21,165.50 is: 45,782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785 : 21,165.50 = 21,165.50 : x
  2. Step 2: Convert to fraction form
    9,785/21,165.50 = 21,165.50/x
  3. Step 3: Cross multiply
    9,785x = 21,165.50 × 21,165.50
  4. Step 4: Simplify right side
    9,785x = 447,978,390.25
  5. Step 5: Solve for x
    x = 447,978,390.25/9,785
  6. Step 6: Final answer
    x = 45,782.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.