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Finding the Third Proportional to 215,600 and 458,416

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Solution

The third proportional to 215,600 and 458,416 is: 974,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,600 : 458,416 = 458,416 : x
  2. Step 2: Convert to fraction form
    215,600/458,416 = 458,416/x
  3. Step 3: Cross multiply
    215,600x = 458,416 × 458,416
  4. Step 4: Simplify right side
    215,600x = 210,145,229,056
  5. Step 5: Solve for x
    x = 210,145,229,056/215,600
  6. Step 6: Final answer
    x = 974,699.58

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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.