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Finding the Third Proportional to 10,138 and 21,572

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Solution

The third proportional to 10,138 and 21,572 is: 45,901.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138 : 21,572 = 21,572 : x
  2. Step 2: Convert to fraction form
    10,138/21,572 = 21,572/x
  3. Step 3: Cross multiply
    10,138x = 21,572 × 21,572
  4. Step 4: Simplify right side
    10,138x = 465,351,184
  5. Step 5: Solve for x
    x = 465,351,184/10,138
  6. Step 6: Final answer
    x = 45,901.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.