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Finding the Third Proportional to 218,718 and 454,887

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Solution

The third proportional to 218,718 and 454,887 is: 946,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,718 : 454,887 = 454,887 : x
  2. Step 2: Convert to fraction form
    218,718/454,887 = 454,887/x
  3. Step 3: Cross multiply
    218,718x = 454,887 × 454,887
  4. Step 4: Simplify right side
    218,718x = 206,922,182,769
  5. Step 5: Solve for x
    x = 206,922,182,769/218,718
  6. Step 6: Final answer
    x = 946,068.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.