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Finding the Third Proportional to 255,478 and 554,424

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Solution

The third proportional to 255,478 and 554,424 is: 1,203,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,478 : 554,424 = 554,424 : x
  2. Step 2: Convert to fraction form
    255,478/554,424 = 554,424/x
  3. Step 3: Cross multiply
    255,478x = 554,424 × 554,424
  4. Step 4: Simplify right side
    255,478x = 307,385,971,776
  5. Step 5: Solve for x
    x = 307,385,971,776/255,478
  6. Step 6: Final answer
    x = 1,203,179.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.