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Finding the Third Proportional to 18,274.36 and 37,985.20

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Solution

The third proportional to 18,274.36 and 37,985.20 is: 78,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274.36 : 37,985.20 = 37,985.20 : x
  2. Step 2: Convert to fraction form
    18,274.36/37,985.20 = 37,985.20/x
  3. Step 3: Cross multiply
    18,274.36x = 37,985.20 × 37,985.20
  4. Step 4: Simplify right side
    18,274.36x = 1,442,875,656.45
  5. Step 5: Solve for x
    x = 1,442,875,656.45/18,274.36
  6. Step 6: Final answer
    x = 78,956.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.