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Finding the Third Proportional to 215,595 and 458,406

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Solution

The third proportional to 215,595 and 458,406 is: 974,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,595 : 458,406 = 458,406 : x
  2. Step 2: Convert to fraction form
    215,595/458,406 = 458,406/x
  3. Step 3: Cross multiply
    215,595x = 458,406 × 458,406
  4. Step 4: Simplify right side
    215,595x = 210,136,060,836
  5. Step 5: Solve for x
    x = 210,136,060,836/215,595
  6. Step 6: Final answer
    x = 974,679.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.