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Finding the Third Proportional to 215,416 and 460,156

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Solution

The third proportional to 215,416 and 460,156 is: 982,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,416 : 460,156 = 460,156 : x
  2. Step 2: Convert to fraction form
    215,416/460,156 = 460,156/x
  3. Step 3: Cross multiply
    215,416x = 460,156 × 460,156
  4. Step 4: Simplify right side
    215,416x = 211,743,544,336
  5. Step 5: Solve for x
    x = 211,743,544,336/215,416
  6. Step 6: Final answer
    x = 982,951.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.