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Finding the Third Proportional to 118,704 and 255,840

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Solution

The third proportional to 118,704 and 255,840 is: 551,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,704 : 255,840 = 255,840 : x
  2. Step 2: Convert to fraction form
    118,704/255,840 = 255,840/x
  3. Step 3: Cross multiply
    118,704x = 255,840 × 255,840
  4. Step 4: Simplify right side
    118,704x = 65,454,105,600
  5. Step 5: Solve for x
    x = 65,454,105,600/118,704
  6. Step 6: Final answer
    x = 551,406.07

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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.