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Finding the Third Proportional to 118,343 and 255,640

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Solution

The third proportional to 118,343 and 255,640 is: 552,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,343 : 255,640 = 255,640 : x
  2. Step 2: Convert to fraction form
    118,343/255,640 = 255,640/x
  3. Step 3: Cross multiply
    118,343x = 255,640 × 255,640
  4. Step 4: Simplify right side
    118,343x = 65,351,809,600
  5. Step 5: Solve for x
    x = 65,351,809,600/118,343
  6. Step 6: Final answer
    x = 552,223.70

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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.