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Finding the Third Proportional to 231,774 and 478,440

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Solution

The third proportional to 231,774 and 478,440 is: 987,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,774 : 478,440 = 478,440 : x
  2. Step 2: Convert to fraction form
    231,774/478,440 = 478,440/x
  3. Step 3: Cross multiply
    231,774x = 478,440 × 478,440
  4. Step 4: Simplify right side
    231,774x = 228,904,833,600
  5. Step 5: Solve for x
    x = 228,904,833,600/231,774
  6. Step 6: Final answer
    x = 987,620.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.