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Finding the Third Proportional to 9,775.69 and 21,006.84

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Solution

The third proportional to 9,775.69 and 21,006.84 is: 45,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.69 : 21,006.84 = 21,006.84 : x
  2. Step 2: Convert to fraction form
    9,775.69/21,006.84 = 21,006.84/x
  3. Step 3: Cross multiply
    9,775.69x = 21,006.84 × 21,006.84
  4. Step 4: Simplify right side
    9,775.69x = 441,287,484.34
  5. Step 5: Solve for x
    x = 441,287,484.34/9,775.69
  6. Step 6: Final answer
    x = 45,141.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.