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Finding the Third Proportional to 10,235 and 21,557

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Solution

The third proportional to 10,235 and 21,557 is: 45,403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235 : 21,557 = 21,557 : x
  2. Step 2: Convert to fraction form
    10,235/21,557 = 21,557/x
  3. Step 3: Cross multiply
    10,235x = 21,557 × 21,557
  4. Step 4: Simplify right side
    10,235x = 464,704,249
  5. Step 5: Solve for x
    x = 464,704,249/10,235
  6. Step 6: Final answer
    x = 45,403.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.