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Finding the Third Proportional to 21,285 and 26,824.50

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Solution

The third proportional to 21,285 and 26,824.50 is: 33,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,285 : 26,824.50 = 26,824.50 : x
  2. Step 2: Convert to fraction form
    21,285/26,824.50 = 26,824.50/x
  3. Step 3: Cross multiply
    21,285x = 26,824.50 × 26,824.50
  4. Step 4: Simplify right side
    21,285x = 719,553,800.25
  5. Step 5: Solve for x
    x = 719,553,800.25/21,285
  6. Step 6: Final answer
    x = 33,805.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.