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Finding the Third Proportional to 405,216 and 865,116

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Solution

The third proportional to 405,216 and 865,116 is: 1,846,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,216 : 865,116 = 865,116 : x
  2. Step 2: Convert to fraction form
    405,216/865,116 = 865,116/x
  3. Step 3: Cross multiply
    405,216x = 865,116 × 865,116
  4. Step 4: Simplify right side
    405,216x = 748,425,693,456
  5. Step 5: Solve for x
    x = 748,425,693,456/405,216
  6. Step 6: Final answer
    x = 1,846,979.62

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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.