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Finding the Third Proportional to 450,724.50 and 918,145.13

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Solution

The third proportional to 450,724.50 and 918,145.13 is: 1,870,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,724.50 : 918,145.13 = 918,145.13 : x
  2. Step 2: Convert to fraction form
    450,724.50/918,145.13 = 918,145.13/x
  3. Step 3: Cross multiply
    450,724.50x = 918,145.13 × 918,145.13
  4. Step 4: Simplify right side
    450,724.50x = 842,990,470,561.27
  5. Step 5: Solve for x
    x = 842,990,470,561.27/450,724.50
  6. Step 6: Final answer
    x = 1,870,300.97

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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.