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Finding the Third Proportional to 438,198.47 and 655,546.22

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Solution

The third proportional to 438,198.47 and 655,546.22 is: 980,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,198.47 : 655,546.22 = 655,546.22 : x
  2. Step 2: Convert to fraction form
    438,198.47/655,546.22 = 655,546.22/x
  3. Step 3: Cross multiply
    438,198.47x = 655,546.22 × 655,546.22
  4. Step 4: Simplify right side
    438,198.47x = 429,740,844,917.42
  5. Step 5: Solve for x
    x = 429,740,844,917.42/438,198.47
  6. Step 6: Final answer
    x = 980,699.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.