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Finding the Third Proportional to 427,921 and 598,215

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Solution

The third proportional to 427,921 and 598,215 is: 836,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,921 : 598,215 = 598,215 : x
  2. Step 2: Convert to fraction form
    427,921/598,215 = 598,215/x
  3. Step 3: Cross multiply
    427,921x = 598,215 × 598,215
  4. Step 4: Simplify right side
    427,921x = 357,861,186,225
  5. Step 5: Solve for x
    x = 357,861,186,225/427,921
  6. Step 6: Final answer
    x = 836,278.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.