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Finding the Third Proportional to 9,901.75 and 21,511

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Solution

The third proportional to 9,901.75 and 21,511 is: 46,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.75 : 21,511 = 21,511 : x
  2. Step 2: Convert to fraction form
    9,901.75/21,511 = 21,511/x
  3. Step 3: Cross multiply
    9,901.75x = 21,511 × 21,511
  4. Step 4: Simplify right side
    9,901.75x = 462,723,121
  5. Step 5: Solve for x
    x = 462,723,121/9,901.75
  6. Step 6: Final answer
    x = 46,731.45

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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.