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Finding the Third Proportional to 20,985 and 32,754

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Solution

The third proportional to 20,985 and 32,754 is: 51,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,985 : 32,754 = 32,754 : x
  2. Step 2: Convert to fraction form
    20,985/32,754 = 32,754/x
  3. Step 3: Cross multiply
    20,985x = 32,754 × 32,754
  4. Step 4: Simplify right side
    20,985x = 1,072,824,516
  5. Step 5: Solve for x
    x = 1,072,824,516/20,985
  6. Step 6: Final answer
    x = 51,123.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.