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Finding the Third Proportional to 407,105 and 868,313

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Solution

The third proportional to 407,105 and 868,313 is: 1,852,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,105 : 868,313 = 868,313 : x
  2. Step 2: Convert to fraction form
    407,105/868,313 = 868,313/x
  3. Step 3: Cross multiply
    407,105x = 868,313 × 868,313
  4. Step 4: Simplify right side
    407,105x = 753,967,465,969
  5. Step 5: Solve for x
    x = 753,967,465,969/407,105
  6. Step 6: Final answer
    x = 1,852,022.12

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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.