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Finding the Third Proportional to 306,169.88 and 648,789.75

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Solution

The third proportional to 306,169.88 and 648,789.75 is: 1,374,818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,169.88 : 648,789.75 = 648,789.75 : x
  2. Step 2: Convert to fraction form
    306,169.88/648,789.75 = 648,789.75/x
  3. Step 3: Cross multiply
    306,169.88x = 648,789.75 × 648,789.75
  4. Step 4: Simplify right side
    306,169.88x = 420,928,139,705.06
  5. Step 5: Solve for x
    x = 420,928,139,705.06/306,169.88
  6. Step 6: Final answer
    x = 1,374,818.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.