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Finding the Third Proportional to 216,956 and 457,240

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Solution

The third proportional to 216,956 and 457,240 is: 963,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,956 : 457,240 = 457,240 : x
  2. Step 2: Convert to fraction form
    216,956/457,240 = 457,240/x
  3. Step 3: Cross multiply
    216,956x = 457,240 × 457,240
  4. Step 4: Simplify right side
    216,956x = 209,068,417,600
  5. Step 5: Solve for x
    x = 209,068,417,600/216,956
  6. Step 6: Final answer
    x = 963,644.32

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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.