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Finding the Third Proportional to 118,312 and 255,384

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Solution

The third proportional to 118,312 and 255,384 is: 551,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,312 : 255,384 = 255,384 : x
  2. Step 2: Convert to fraction form
    118,312/255,384 = 255,384/x
  3. Step 3: Cross multiply
    118,312x = 255,384 × 255,384
  4. Step 4: Simplify right side
    118,312x = 65,220,987,456
  5. Step 5: Solve for x
    x = 65,220,987,456/118,312
  6. Step 6: Final answer
    x = 551,262.66

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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.