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Finding the Third Proportional to 9,857.58 and 21,378.90

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Solution

The third proportional to 9,857.58 and 21,378.90 is: 46,366.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.58 : 21,378.90 = 21,378.90 : x
  2. Step 2: Convert to fraction form
    9,857.58/21,378.90 = 21,378.90/x
  3. Step 3: Cross multiply
    9,857.58x = 21,378.90 × 21,378.90
  4. Step 4: Simplify right side
    9,857.58x = 457,057,277.52
  5. Step 5: Solve for x
    x = 457,057,277.52/9,857.58
  6. Step 6: Final answer
    x = 46,366.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.