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Finding the Third Proportional to 427,800 and 598,125

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Solution

The third proportional to 427,800 and 598,125 is: 836,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,800 : 598,125 = 598,125 : x
  2. Step 2: Convert to fraction form
    427,800/598,125 = 598,125/x
  3. Step 3: Cross multiply
    427,800x = 598,125 × 598,125
  4. Step 4: Simplify right side
    427,800x = 357,753,515,625
  5. Step 5: Solve for x
    x = 357,753,515,625/427,800
  6. Step 6: Final answer
    x = 836,263.48

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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.