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Finding the Third Proportional to 455,318 and 668,215

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Solution

The third proportional to 455,318 and 668,215 is: 980,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,318 : 668,215 = 668,215 : x
  2. Step 2: Convert to fraction form
    455,318/668,215 = 668,215/x
  3. Step 3: Cross multiply
    455,318x = 668,215 × 668,215
  4. Step 4: Simplify right side
    455,318x = 446,511,286,225
  5. Step 5: Solve for x
    x = 446,511,286,225/455,318
  6. Step 6: Final answer
    x = 980,658.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.