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Finding the Third Proportional to 128,719.13 and 200,201.63

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Solution

The third proportional to 128,719.13 and 200,201.63 is: 311,381.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,719.13 : 200,201.63 = 200,201.63 : x
  2. Step 2: Convert to fraction form
    128,719.13/200,201.63 = 200,201.63/x
  3. Step 3: Cross multiply
    128,719.13x = 200,201.63 × 200,201.63
  4. Step 4: Simplify right side
    128,719.13x = 40,080,690,652.64
  5. Step 5: Solve for x
    x = 40,080,690,652.64/128,719.13
  6. Step 6: Final answer
    x = 311,381.01

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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.