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Finding the Third Proportional to 442,008 and 654,723

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Solution

The third proportional to 442,008 and 654,723 is: 969,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,008 : 654,723 = 654,723 : x
  2. Step 2: Convert to fraction form
    442,008/654,723 = 654,723/x
  3. Step 3: Cross multiply
    442,008x = 654,723 × 654,723
  4. Step 4: Simplify right side
    442,008x = 428,662,206,729
  5. Step 5: Solve for x
    x = 428,662,206,729/442,008
  6. Step 6: Final answer
    x = 969,806.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.