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Finding the Third Proportional to 216,887 and 469,966

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Solution

The third proportional to 216,887 and 469,966 is: 1,018,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,887 : 469,966 = 469,966 : x
  2. Step 2: Convert to fraction form
    216,887/469,966 = 469,966/x
  3. Step 3: Cross multiply
    216,887x = 469,966 × 469,966
  4. Step 4: Simplify right side
    216,887x = 220,868,041,156
  5. Step 5: Solve for x
    x = 220,868,041,156/216,887
  6. Step 6: Final answer
    x = 1,018,355.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.