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Finding the Third Proportional to 349,245 and 754,128

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Solution

The third proportional to 349,245 and 754,128 is: 1,628,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,245 : 754,128 = 754,128 : x
  2. Step 2: Convert to fraction form
    349,245/754,128 = 754,128/x
  3. Step 3: Cross multiply
    349,245x = 754,128 × 754,128
  4. Step 4: Simplify right side
    349,245x = 568,709,040,384
  5. Step 5: Solve for x
    x = 568,709,040,384/349,245
  6. Step 6: Final answer
    x = 1,628,395.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.