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Finding the Third Proportional to 231,792 and 488,905

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Solution

The third proportional to 231,792 and 488,905 is: 1,031,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,792 : 488,905 = 488,905 : x
  2. Step 2: Convert to fraction form
    231,792/488,905 = 488,905/x
  3. Step 3: Cross multiply
    231,792x = 488,905 × 488,905
  4. Step 4: Simplify right side
    231,792x = 239,028,099,025
  5. Step 5: Solve for x
    x = 239,028,099,025/231,792
  6. Step 6: Final answer
    x = 1,031,218.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.