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Finding the Third Proportional to 216,954 and 457,236

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Solution

The third proportional to 216,954 and 457,236 is: 963,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,954 : 457,236 = 457,236 : x
  2. Step 2: Convert to fraction form
    216,954/457,236 = 457,236/x
  3. Step 3: Cross multiply
    216,954x = 457,236 × 457,236
  4. Step 4: Simplify right side
    216,954x = 209,064,759,696
  5. Step 5: Solve for x
    x = 209,064,759,696/216,954
  6. Step 6: Final answer
    x = 963,636.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.