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Finding the Third Proportional to 339,481.13 and 512,681.06

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Solution

The third proportional to 339,481.13 and 512,681.06 is: 774,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,481.13 : 512,681.06 = 512,681.06 : x
  2. Step 2: Convert to fraction form
    339,481.13/512,681.06 = 512,681.06/x
  3. Step 3: Cross multiply
    339,481.13x = 512,681.06 × 512,681.06
  4. Step 4: Simplify right side
    339,481.13x = 262,841,871,846.13
  5. Step 5: Solve for x
    x = 262,841,871,846.13/339,481.13
  6. Step 6: Final answer
    x = 774,245.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.