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Finding the Third Proportional to 89,393.63 and 128,516.63

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Solution

The third proportional to 89,393.63 and 128,516.63 is: 184,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,393.63 : 128,516.63 = 128,516.63 : x
  2. Step 2: Convert to fraction form
    89,393.63/128,516.63 = 128,516.63/x
  3. Step 3: Cross multiply
    89,393.63x = 128,516.63 × 128,516.63
  4. Step 4: Simplify right side
    89,393.63x = 16,516,522,901.39
  5. Step 5: Solve for x
    x = 16,516,522,901.39/89,393.63
  6. Step 6: Final answer
    x = 184,761.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.