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Finding the Third Proportional to 118,280 and 255,320

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Solution

The third proportional to 118,280 and 255,320 is: 551,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,280 : 255,320 = 255,320 : x
  2. Step 2: Convert to fraction form
    118,280/255,320 = 255,320/x
  3. Step 3: Cross multiply
    118,280x = 255,320 × 255,320
  4. Step 4: Simplify right side
    118,280x = 65,188,302,400
  5. Step 5: Solve for x
    x = 65,188,302,400/118,280
  6. Step 6: Final answer
    x = 551,135.46

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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.