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Finding the Third Proportional to 21,121 and 28,435

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Solution

The third proportional to 21,121 and 28,435 is: 38,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,121 : 28,435 = 28,435 : x
  2. Step 2: Convert to fraction form
    21,121/28,435 = 28,435/x
  3. Step 3: Cross multiply
    21,121x = 28,435 × 28,435
  4. Step 4: Simplify right side
    21,121x = 808,549,225
  5. Step 5: Solve for x
    x = 808,549,225/21,121
  6. Step 6: Final answer
    x = 38,281.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.