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Finding the Third Proportional to 216,976 and 457,280

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Solution

The third proportional to 216,976 and 457,280 is: 963,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,976 : 457,280 = 457,280 : x
  2. Step 2: Convert to fraction form
    216,976/457,280 = 457,280/x
  3. Step 3: Cross multiply
    216,976x = 457,280 × 457,280
  4. Step 4: Simplify right side
    216,976x = 209,104,998,400
  5. Step 5: Solve for x
    x = 209,104,998,400/216,976
  6. Step 6: Final answer
    x = 963,724.09

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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.