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Finding the Third Proportional to 18,971.80 and 28,371.20

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Solution

The third proportional to 18,971.80 and 28,371.20 is: 42,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,971.80 : 28,371.20 = 28,371.20 : x
  2. Step 2: Convert to fraction form
    18,971.80/28,371.20 = 28,371.20/x
  3. Step 3: Cross multiply
    18,971.80x = 28,371.20 × 28,371.20
  4. Step 4: Simplify right side
    18,971.80x = 804,924,945.11
  5. Step 5: Solve for x
    x = 804,924,945.11/18,971.80
  6. Step 6: Final answer
    x = 42,427.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.