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Finding the Third Proportional to 407,626 and 885,489

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Solution

The third proportional to 407,626 and 885,489 is: 1,923,554.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,626 : 885,489 = 885,489 : x
  2. Step 2: Convert to fraction form
    407,626/885,489 = 885,489/x
  3. Step 3: Cross multiply
    407,626x = 885,489 × 885,489
  4. Step 4: Simplify right side
    407,626x = 784,090,769,121
  5. Step 5: Solve for x
    x = 784,090,769,121/407,626
  6. Step 6: Final answer
    x = 1,923,554.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.