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Finding the Third Proportional to 414,566.50 and 621,728.50

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Solution

The third proportional to 414,566.50 and 621,728.50 is: 932,410.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,566.50 : 621,728.50 = 621,728.50 : x
  2. Step 2: Convert to fraction form
    414,566.50/621,728.50 = 621,728.50/x
  3. Step 3: Cross multiply
    414,566.50x = 621,728.50 × 621,728.50
  4. Step 4: Simplify right side
    414,566.50x = 386,546,327,712.25
  5. Step 5: Solve for x
    x = 386,546,327,712.25/414,566.50
  6. Step 6: Final answer
    x = 932,410.91

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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.