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Finding the Third Proportional to 450,727 and 918,149

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Solution

The third proportional to 450,727 and 918,149 is: 1,870,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,727 : 918,149 = 918,149 : x
  2. Step 2: Convert to fraction form
    450,727/918,149 = 918,149/x
  3. Step 3: Cross multiply
    450,727x = 918,149 × 918,149
  4. Step 4: Simplify right side
    450,727x = 842,997,586,201
  5. Step 5: Solve for x
    x = 842,997,586,201/450,727
  6. Step 6: Final answer
    x = 1,870,306.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.