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Finding the Third Proportional to 9,666.42 and 21,200.91

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Solution

The third proportional to 9,666.42 and 21,200.91 is: 46,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.42 : 21,200.91 = 21,200.91 : x
  2. Step 2: Convert to fraction form
    9,666.42/21,200.91 = 21,200.91/x
  3. Step 3: Cross multiply
    9,666.42x = 21,200.91 × 21,200.91
  4. Step 4: Simplify right side
    9,666.42x = 449,478,425.82
  5. Step 5: Solve for x
    x = 449,478,425.82/9,666.42
  6. Step 6: Final answer
    x = 46,498.95

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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.