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Finding the Third Proportional to 118,742 and 255,916

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Solution

The third proportional to 118,742 and 255,916 is: 551,557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,742 : 255,916 = 255,916 : x
  2. Step 2: Convert to fraction form
    118,742/255,916 = 255,916/x
  3. Step 3: Cross multiply
    118,742x = 255,916 × 255,916
  4. Step 4: Simplify right side
    118,742x = 65,492,999,056
  5. Step 5: Solve for x
    x = 65,492,999,056/118,742
  6. Step 6: Final answer
    x = 551,557.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.