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Finding the Third Proportional to 21,386 and 51,521

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Solution

The third proportional to 21,386 and 51,521 is: 124,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386 : 51,521 = 51,521 : x
  2. Step 2: Convert to fraction form
    21,386/51,521 = 51,521/x
  3. Step 3: Cross multiply
    21,386x = 51,521 × 51,521
  4. Step 4: Simplify right side
    21,386x = 2,654,413,441
  5. Step 5: Solve for x
    x = 2,654,413,441/21,386
  6. Step 6: Final answer
    x = 124,119.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.