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Finding the Third Proportional to 445,682.25 and 690,403.50

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Solution

The third proportional to 445,682.25 and 690,403.50 is: 1,069,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,682.25 : 690,403.50 = 690,403.50 : x
  2. Step 2: Convert to fraction form
    445,682.25/690,403.50 = 690,403.50/x
  3. Step 3: Cross multiply
    445,682.25x = 690,403.50 × 690,403.50
  4. Step 4: Simplify right side
    445,682.25x = 476,656,992,812.25
  5. Step 5: Solve for x
    x = 476,656,992,812.25/445,682.25
  6. Step 6: Final answer
    x = 1,069,499.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.