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Finding the Third Proportional to 21,510 and 34,121

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Solution

The third proportional to 21,510 and 34,121 is: 54,125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510 : 34,121 = 34,121 : x
  2. Step 2: Convert to fraction form
    21,510/34,121 = 34,121/x
  3. Step 3: Cross multiply
    21,510x = 34,121 × 34,121
  4. Step 4: Simplify right side
    21,510x = 1,164,242,641
  5. Step 5: Solve for x
    x = 1,164,242,641/21,510
  6. Step 6: Final answer
    x = 54,125.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.