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Finding the Third Proportional to 407,104 and 868,311

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Solution

The third proportional to 407,104 and 868,311 is: 1,852,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,104 : 868,311 = 868,311 : x
  2. Step 2: Convert to fraction form
    407,104/868,311 = 868,311/x
  3. Step 3: Cross multiply
    407,104x = 868,311 × 868,311
  4. Step 4: Simplify right side
    407,104x = 753,963,992,721
  5. Step 5: Solve for x
    x = 753,963,992,721/407,104
  6. Step 6: Final answer
    x = 1,852,018.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.