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Finding the Third Proportional to 18,499.64 and 40,689.63

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Solution

The third proportional to 18,499.64 and 40,689.63 is: 89,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,499.64 : 40,689.63 = 40,689.63 : x
  2. Step 2: Convert to fraction form
    18,499.64/40,689.63 = 40,689.63/x
  3. Step 3: Cross multiply
    18,499.64x = 40,689.63 × 40,689.63
  4. Step 4: Simplify right side
    18,499.64x = 1,655,646,218.42
  5. Step 5: Solve for x
    x = 1,655,646,218.42/18,499.64
  6. Step 6: Final answer
    x = 89,496.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.