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Finding the Third Proportional to 255,218 and 380,336

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Solution

The third proportional to 255,218 and 380,336 is: 566,791.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,218 : 380,336 = 380,336 : x
  2. Step 2: Convert to fraction form
    255,218/380,336 = 380,336/x
  3. Step 3: Cross multiply
    255,218x = 380,336 × 380,336
  4. Step 4: Simplify right side
    255,218x = 144,655,472,896
  5. Step 5: Solve for x
    x = 144,655,472,896/255,218
  6. Step 6: Final answer
    x = 566,791.81

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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.