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Finding the Third Proportional to 21,585 and 28,395

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Solution

The third proportional to 21,585 and 28,395 is: 37,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,585 : 28,395 = 28,395 : x
  2. Step 2: Convert to fraction form
    21,585/28,395 = 28,395/x
  3. Step 3: Cross multiply
    21,585x = 28,395 × 28,395
  4. Step 4: Simplify right side
    21,585x = 806,276,025
  5. Step 5: Solve for x
    x = 806,276,025/21,585
  6. Step 6: Final answer
    x = 37,353.53

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.