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Finding the Third Proportional to 215,590 and 458,396

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Solution

The third proportional to 215,590 and 458,396 is: 974,659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,590 : 458,396 = 458,396 : x
  2. Step 2: Convert to fraction form
    215,590/458,396 = 458,396/x
  3. Step 3: Cross multiply
    215,590x = 458,396 × 458,396
  4. Step 4: Simplify right side
    215,590x = 210,126,892,816
  5. Step 5: Solve for x
    x = 210,126,892,816/215,590
  6. Step 6: Final answer
    x = 974,659.74

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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.