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Finding the Third Proportional to 309,040.31 and 641,768.06

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Solution

The third proportional to 309,040.31 and 641,768.06 is: 1,332,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,040.31 : 641,768.06 = 641,768.06 : x
  2. Step 2: Convert to fraction form
    309,040.31/641,768.06 = 641,768.06/x
  3. Step 3: Cross multiply
    309,040.31x = 641,768.06 × 641,768.06
  4. Step 4: Simplify right side
    309,040.31x = 411,866,246,045.00
  5. Step 5: Solve for x
    x = 411,866,246,045.00/309,040.31
  6. Step 6: Final answer
    x = 1,332,726.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.