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Finding the Third Proportional to 21,546 and 28,977.75

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Solution

The third proportional to 21,546 and 28,977.75 is: 38,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,546 : 28,977.75 = 28,977.75 : x
  2. Step 2: Convert to fraction form
    21,546/28,977.75 = 28,977.75/x
  3. Step 3: Cross multiply
    21,546x = 28,977.75 × 28,977.75
  4. Step 4: Simplify right side
    21,546x = 839,709,995.06
  5. Step 5: Solve for x
    x = 839,709,995.06/21,546
  6. Step 6: Final answer
    x = 38,972.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.