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Finding the Third Proportional to 471,617 and 666,685

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Solution

The third proportional to 471,617 and 666,685 is: 942,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,617 : 666,685 = 666,685 : x
  2. Step 2: Convert to fraction form
    471,617/666,685 = 666,685/x
  3. Step 3: Cross multiply
    471,617x = 666,685 × 666,685
  4. Step 4: Simplify right side
    471,617x = 444,468,889,225
  5. Step 5: Solve for x
    x = 444,468,889,225/471,617
  6. Step 6: Final answer
    x = 942,436.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.