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Finding the Third Proportional to 427,909 and 598,213

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Solution

The third proportional to 427,909 and 598,213 is: 836,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,909 : 598,213 = 598,213 : x
  2. Step 2: Convert to fraction form
    427,909/598,213 = 598,213/x
  3. Step 3: Cross multiply
    427,909x = 598,213 × 598,213
  4. Step 4: Simplify right side
    427,909x = 357,858,793,369
  5. Step 5: Solve for x
    x = 357,858,793,369/427,909
  6. Step 6: Final answer
    x = 836,296.49

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