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Finding the Third Proportional to 20,623.50 and 42,043.50

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Solution

The third proportional to 20,623.50 and 42,043.50 is: 85,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,623.50 : 42,043.50 = 42,043.50 : x
  2. Step 2: Convert to fraction form
    20,623.50/42,043.50 = 42,043.50/x
  3. Step 3: Cross multiply
    20,623.50x = 42,043.50 × 42,043.50
  4. Step 4: Simplify right side
    20,623.50x = 1,767,655,892.25
  5. Step 5: Solve for x
    x = 1,767,655,892.25/20,623.50
  6. Step 6: Final answer
    x = 85,710.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.