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Finding the Third Proportional to 255,948 and 551,138

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Solution

The third proportional to 255,948 and 551,138 is: 1,186,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,948 : 551,138 = 551,138 : x
  2. Step 2: Convert to fraction form
    255,948/551,138 = 551,138/x
  3. Step 3: Cross multiply
    255,948x = 551,138 × 551,138
  4. Step 4: Simplify right side
    255,948x = 303,753,095,044
  5. Step 5: Solve for x
    x = 303,753,095,044/255,948
  6. Step 6: Final answer
    x = 1,186,776.59

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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.