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Finding the Third Proportional to 15,293 and 21,535

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Solution

The third proportional to 15,293 and 21,535 is: 30,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,293 : 21,535 = 21,535 : x
  2. Step 2: Convert to fraction form
    15,293/21,535 = 21,535/x
  3. Step 3: Cross multiply
    15,293x = 21,535 × 21,535
  4. Step 4: Simplify right side
    15,293x = 463,756,225
  5. Step 5: Solve for x
    x = 463,756,225/15,293
  6. Step 6: Final answer
    x = 30,324.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.