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Finding the Third Proportional to 407,739 and 867,966

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Solution

The third proportional to 407,739 and 867,966 is: 1,847,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,739 : 867,966 = 867,966 : x
  2. Step 2: Convert to fraction form
    407,739/867,966 = 867,966/x
  3. Step 3: Cross multiply
    407,739x = 867,966 × 867,966
  4. Step 4: Simplify right side
    407,739x = 753,364,977,156
  5. Step 5: Solve for x
    x = 753,364,977,156/407,739
  6. Step 6: Final answer
    x = 1,847,664.75

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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.