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Finding the Third Proportional to 128,597.63 and 196,602.19

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Solution

The third proportional to 128,597.63 and 196,602.19 is: 300,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,597.63 : 196,602.19 = 196,602.19 : x
  2. Step 2: Convert to fraction form
    128,597.63/196,602.19 = 196,602.19/x
  3. Step 3: Cross multiply
    128,597.63x = 196,602.19 × 196,602.19
  4. Step 4: Simplify right side
    128,597.63x = 38,652,420,129.79
  5. Step 5: Solve for x
    x = 38,652,420,129.79/128,597.63
  6. Step 6: Final answer
    x = 300,568.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.