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Finding the Third Proportional to 120,627 and 257,868

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Solution

The third proportional to 120,627 and 257,868 is: 551,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,627 : 257,868 = 257,868 : x
  2. Step 2: Convert to fraction form
    120,627/257,868 = 257,868/x
  3. Step 3: Cross multiply
    120,627x = 257,868 × 257,868
  4. Step 4: Simplify right side
    120,627x = 66,495,905,424
  5. Step 5: Solve for x
    x = 66,495,905,424/120,627
  6. Step 6: Final answer
    x = 551,252.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.