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Finding the Third Proportional to 255,226 and 380,348

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Solution

The third proportional to 255,226 and 380,348 is: 566,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,226 : 380,348 = 380,348 : x
  2. Step 2: Convert to fraction form
    255,226/380,348 = 380,348/x
  3. Step 3: Cross multiply
    255,226x = 380,348 × 380,348
  4. Step 4: Simplify right side
    255,226x = 144,664,601,104
  5. Step 5: Solve for x
    x = 144,664,601,104/255,226
  6. Step 6: Final answer
    x = 566,809.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.