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Finding the Third Proportional to 255,448 and 548,808

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Solution

The third proportional to 255,448 and 548,808 is: 1,179,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,448 : 548,808 = 548,808 : x
  2. Step 2: Convert to fraction form
    255,448/548,808 = 548,808/x
  3. Step 3: Cross multiply
    255,448x = 548,808 × 548,808
  4. Step 4: Simplify right side
    255,448x = 301,190,220,864
  5. Step 5: Solve for x
    x = 301,190,220,864/255,448
  6. Step 6: Final answer
    x = 1,179,066.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.