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Finding the Third Proportional to 407,838 and 885,740

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Solution

The third proportional to 407,838 and 885,740 is: 1,923,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,838 : 885,740 = 885,740 : x
  2. Step 2: Convert to fraction form
    407,838/885,740 = 885,740/x
  3. Step 3: Cross multiply
    407,838x = 885,740 × 885,740
  4. Step 4: Simplify right side
    407,838x = 784,535,347,600
  5. Step 5: Solve for x
    x = 784,535,347,600/407,838
  6. Step 6: Final answer
    x = 1,923,644.55

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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.