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Finding the Third Proportional to 611,162 and 917,895

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Solution

The third proportional to 611,162 and 917,895 is: 1,378,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,162 : 917,895 = 917,895 : x
  2. Step 2: Convert to fraction form
    611,162/917,895 = 917,895/x
  3. Step 3: Cross multiply
    611,162x = 917,895 × 917,895
  4. Step 4: Simplify right side
    611,162x = 842,531,231,025
  5. Step 5: Solve for x
    x = 842,531,231,025/611,162
  6. Step 6: Final answer
    x = 1,378,572.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.